For the 2N5457 JFET of Fig. 6.20, what is the power rating at a typical operating temperature of 45C using the 5.0 mW/C derating factor? Fig. 6.20 2NS457 MMBF5457 ABKLITE MANIMIM RATINCS Sel Dr Ss...

Determine V o1 and V o2 for the networks of Fig. 2.159 . +12 Vo Si (a) 4.7 GaAs Vo -10 Vo FIG. 2.159 Problem 9. Ge Si K (b) 1.2 kQ ww + Vo 3.3

A proposed embankment fill requires 8000 m 3 of compacted soil. The void ratio of the compacted fill is specified as 0.7. Four borrow pits are available as described in the following table, which...

Consider the Supermarine Spitfire shown in Figure 5.19. The first version of the Spitfire was the Mk I, which first flew in 1936. Its maximum velocity is 362 mi/h at an altitude of 18,500 ft. Its...

A motor control system for a computer disk drive must reduce the effect of disturbances and parameter variations, as well as reduce the steady-state error. We want to have no steady-state error for...

Consider a unity feedback system with loop transfer function Determine the value of the gain K such that the percent overshoot to a unit step is minimized. L(s) = Ge(s)G(s) = K(s + 2) (s + 5) (s + s...

Determine the angle between the two cables. 2 m 3 m F = 40 N |A Z F = 70 N 3 m 4m -3 m- 2m B

Determine the magnitude of the projected component of force F along the pole. F = (-20i + 50j - 10k} lb A 6 ft 1-281- X 3 ft Prob. 2-105

Determine the magnitude and coordinate direction angles , . of the resultant force acting on the pole. Set x = 4m, y = 2m. -3 m F=250 N = 300 N 4 m F = 350 N m

The spur gear is subjected to the two forces. Express each force as a Cartesian vector. F= 180 lb 60 60 24. 7 135 25 F = 50 lb

Two forces F 1 and F 2 act on the screw eye. If the resultant force F R has a magnitude of 150 lb and the coordinate direction angles are shown. determine the angle y, the magnitude of F 2, and its...

If a vertical force of 2.5 kN is applied to the hook at A, determine the tension in each of the three cables for equilibrium. Set d = 1 m. X B 3 m 1.5 m A (P Pasazanmar F = 2.5 KN 3 m 1 m D 0.75 m y

If cable AD is tightened by a turnbuckle and develops a tension of 1300 lb, determine the tension developed in cables AB and AC, and the force developed along the z-axis of the Antema tower AE. 30 ft...

Determine the length of the connecting rod AB by first formulating a position vector from A to B and then determining its magnitude. 30 B 300 mm 150 mm Prob. 2-86 X

Given that G = 3a + cosa z 2 a z , find the component of G along a x at point Q(3,4,6).

Three 10-lb balls and one 15-lb ball are suspended from the pulley-and-cable system. If the pulleys are frictionless and the centers of all of them lie in the same horizontal plane, determine the sag...

Determine the force in each of the three cables needed to support the tractor tread assembly, which has a mass of 8 Mg. 1.25 m B X 1.25 m N 3 m D 2 m 1m

If the tension developed in either cable AB or AC cannot exceed 1000 lb, determine the maximum tension that can be developed in cable AD when it is tightened by the turnbuckle. Also, what is the...

Determine the force in each of the three cables needed to lift the machine that has a weight of 10 kN. x 1 m 3 m 2 m 10 KN A B C 1.25 m 1.25 m

If the cords suspend the two buckets in the equilibrium position, determine the weight of bucket B. Bucket A has a weight of 60 lb. E 40 A 20 20 B D 65

The lamp has a weight of 15 lb and is supported by the six cords connected together as shown. Determine the tension in each cord and the angle for equilibrium. Cord BC is horizontal. E 30 B A C 45 E...

Each cord can sustain a maximum tension of 20 lb. Determine the largest weight of the lamp that can be supported. Also, determine of cord DC for equilibrium. E 30 B 60 A C 750 D

The spring has a stiffness of k = 800 N/m and an unstretched length of 200 mm. Determine the force in cables BC and BD when the spring is held in the position shown. k = 800 N/m B www 500 mm -400 mm...

Determine the stretch in each spring for equilibrium of the 2-kg block. The springs are shown in the equilibrium position. 3 m Ans. -3 m- wwwwww KAC = 20 N/m D -4m- wwwwwww KAD = 40 N/m B KAB = 30 N/m

Given that find: (a) |P + Q R|, (b) P Q X R, (c) Q X P R, (d) (P X Q) (Q X R), (e) (P X Q) X (Q X R), (f) cos PR , (g) sin PQ . P = 2a, ay-2a Q = 4a, + 3a, + 2a R = -a + a, + 2a

Determine the reactions at the roller support A, the joint D, and the tension in cable BC for ball-and-socket the plate. 0.4 m X 0.6 m 0.6 m 0.6 m B 450 N

The rod is supported by smooth journal bearings at A, B, and C and is subjected to the two forces. Determine the reactions at these supports. X A N 0.6 m B 0.6 m A600N 400 N D 0.6 m 0.4 m -y

The file cabinet contains four uniform drawers, each 2.5 ft long and weighing 30 lb/ft. If the empty cabinet (without drawers) has a weight of 40 lb and a center of mass at G, determine how many of...

Determine the components of reaction at the fixed support A. Neglect the thickness of the beam. 3m A 60 200 N 200 N 200 N m- tim- 30 400 N

The truss is supported by a pin at A and a roller at B. Determine the support reactions. 5 kN 4 m 45 2 m 10 kN -2 m- -4 m-

Determine the reaction at fixed support A. A 6 m 0.5 kN/m -3 m- 3 kN 5 kN-m

The 2.5-Mg assembly has a center of mass at G and is hoisted with a constant velocity. Determine the force in each cable and the distance d for equilibrium. 3 m 1 m/ - 4 m P .G 4 m C B 4 m 1.25 m

Two couples act on the beam. Determine the magnitude of F so that the resultant couple moment is 450 Ib ft, counterclockwise. Where on the beam does the resultant couple moment act? 200 lb 1.5 ft -2...

If F = 125 lb, determine the resultant couple moment. 200 lb 1.5 ft 200 lb -2 ft- 1.25 ft 130 130 F

The road exerts a torque of M A = 400 N m and M B = 200 N m on the brushes of the road sweeper. Determine the magnitude of the couple forces that are developed by the road on the rear wheels of the...

Determine the magnitude of the forces F and - F, so that the resultant couple moment is 400 N m clockwise. 250 N 250 N 1 m -40% 600 N 600 N

The man tries to open the valve by applying the couple of forces of F = 75 N to the wheel. Determine the couple of moment produced. F -150 mm-150 mm- F

The bevel gear is subjected to the force F which is caused from contact with another gear. Determine the moment of this force about the y axis of the gear shaft. F = {20i + 8j - 15k} N 30 mm 40 mm X

The board is used to hold the end of the cross lug wrench in the position shown when the man applies a force of F = 100 N. Determine the magnitude of the moment produced by this force about the...

If the moment of the force F about the edge CA of the tetrahedron has a magnitude of M = 200 lb ft and is directed from C toward A, determine the magnitude of F. 8 ft 10 ft Sft a fon 6 ft N 4 ft A...

The force of F = 80 lb acts along the edge DB of the tetrahedron. Determine the magnitude of the moment of this force about the edge CA. X 8 ft 5 ft 10 ft X611 6 ft 4 ft Z D 15 ft F B y

Determine the moment produced by force F about the diagonal AF of the rectangular block. Express the result as a Cartesian vector. X C 3 m Z A 0 D F F = {-6i+ 3j + 10k} N B 1.5 m G 3 m

The board is used to hold the end of the cross lug wrench in the position shown. If a torque of 30 N m about the x-axis is required to tighten the nut, determine the required magnitude of the force...

Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. W 100 lb/ft 370 lb/ft w = (x + 3x + 100) lb/ft 15 ft- B -X

Replace the loading on the beam by an equivalent resultant force and specify its location, measured from point A. + \FR = F ; (+MRA = ; Fn = 3 + 1.5 + 1.5 = 6 kN | 6(d) 3 (1) + 1.5 (1.5) + 1.5 (4) d...

Determine the resultant moment of both the 100-lb force and the triangular distributed load about point O. y 12 ft- 20 lb/ft 100 lb 60 1 ft X

Replace the loading system acting on the post by an equivalent resultant force and couple moment at point P. 60 lb 3 4 P O 30 lb 1 ft 3 ft 2 ft 40 lb X

Replace the force and couple-moment system by an equivalent resultant force and specify its coordinate point of application (x, 0) on the x axis. F = 20 lb 3 ft 4 ft -5 ft F = 10 lb y M = 100 lb-ft O...

Replace the force system acting on the pipe assembly by a resultant force and couple moment at point O. Express the results in Cartesian vector form. X 2 ft N F = {-20i-10j + 25k}lb O F = {-10i + 25j...

Replace the force system acting on the truss by a resultant force and couple moment at point C. 6 ft 200 lb PC 150 lb -2 ft-2 ft2 ft- A O 100 lb -2 ft- B 5 500 lb

Replace the loading acting on the frame by an equivalent resultant force and couple moment acting at point A. B -3 ft 80 lb. +3 -3 ft- 75 lb 60 lb + 3 ft -3 ft- 2 ft 1 40 lb A 4 ft

Replace the force system by an equivalent resultant force and couple moment at point O. Set F = 15 lb. -2 in.- 6 in. 20 lb 40 30 1.5 in. X

Replace the force system by an equivalent resultant force and couple moment at point O. Set F = 20 lb. y +2 in. 6 in. 20 lb 40 30 1.5 in. X 4 3 F

The two ends of the spanner wrench fit loosely into the smooth slots of the bolt head. Determine the required force P on the handle in order to develop a torque of M = 50 N m on the bolt. Also, what...

The two ends of the spanner wrench fit loosely into the smooth slots of the bolt head. Determine the torque M on the bolt and the resultant force on the pin at B when a force of P = 80 N is applied...

Determine the force P needed to suspend the 100-lb weight. Each pulley has a weight of 10 lb. Also, what are the cord reactions at A and B? A 2 in. C 2 in. 2 in. P

If each cord can support a maximum tension of 500 lb determine the largest weight that can be supported by the pulley system. Each pulley has a weight of 10 lb. A B: 2 in. C 2 in. 2 in. P

Determine the components of reaction at C. 250 N B D -1.5 m-1.5 m-1.5 m-1.5 m- Prob. F6-22 2 m 2m E

Identify the zero-force members in the truss. 1.5 m E A -2 m- 3 kN D B -2m- 'C

Determine the force in each member of the truss. State if the members are in tension or compression. A -4 ft- B D -4 ft- 450 lb 4 ft

Determine the magnitude and coordinate direction angles of the resultant couple moment. M = 40 lb-ft 20 15 X Z M = 30 lb-ft 130 y

Two couples act on the frame. If d = 6 ft, determine the resultant couple moment by (a) Summing the moments of the two couples (b) Resolving each force into x and y components and then summing the...

Two couples act on the frame. If d = 4 ft, determine the resultant couple moment by (a) Summing the moments of the two couples (b) Resolving each force into x and y components and then summing the...

Two couples act on the frame. If the resultant couple moment is to be zero, determine the distance d between the 100-lb couple forces. 100 lb -3 ft-+d- 30 30% 100 Ib 150 Ib -3 ft- B T 4 ft 150 Ib

Three couple moments act on the pipe assembly. Determine the magnitude of the resultant couple moment if M 2 = 50 N and M 3 = 35 N m. M3 0 120 120 120 (M M= 80 Nm

If the valve can be opened with a couple moment of 25 N m within, determine the required magnitude of each couple forces that must be applied to the wheel. F -150 mm-150 mm. F

The cord passing over the two small pegs A and B on the board is subjected to a tension of 10 lb. Determine the minimum tension P and the orientation of the cord passing over pegs C and D, so that...

The crossbar wrench is used to remove a lug nut from the automobile wheel. The mechanic applies a couple to the wrench such that his hands are a constant distance apart. Is it necessary that a = b in...

The A-frame is being hoisted into an upright position by the vertical force of F = 80 lb. Determine the moment of this force about the y' axis passing through points A and B when the frame is in the...

The Rollerball skate is an in-line tandem skate that uses two large spherical wheels on each skate, rather than traditional wafer-shape wheels. During skating the two forces acting on the wheel of...

The A-frame is being hoisted into an upright position by the vertical force of F = 80 lb. Determine the moment of this force about the x axis when the frame is in the position shown. x x N A 6 ft 30...

The tool is used to shut off gas valves that are difficult to access. If the force F is applied to the handle, determine the component of the moment created about the z axis of the valve. z 0.25 m 30...

Determine the moment of each force acting on the handle of the wrench about the axis. Take F 1 = {-2i + 4j - 8k} Ib, F 2 = {3i + 2j - 6k} lb. X F. F. B 45 3.5 in. 4 in. 6 in.

Determine the resultant moment of the two forces about the Oa axis. Express the result as a Cartesian vector. F = 50 lb 5 ft 30 0 4 ft- B 30 45 120* 6 ft F = 80 lb 60 y

Determine the moment of each force acting on the handle of the wrench about the z-axis. Take F 1 = {-2i + 4j - 8k} lb, F 2 = {3i + 2j - 6k} lb. F F B A - 45 3.5 in. Z 4 in. 6 in.

The curved rod has a radius of 5 ft. If a force of 60 lb acts at its end as shown, determine the moment of this force about point C. 5 ft -7 ft C 60 5 ft B 60 lb 6 ft

The curved rod has a radius of 4 ft. If the cable AB exerts a force of 80 lb on the rod, determine the moment of this force about point C. Solve the problem by using two different position vectors. F...

Determine the smallest force F that must be applied along the rope in order to develop a moment of M = 1500 N m at A. x 6 m B 45 4 m F C A 4m 6 m- y

Determine the smallest force F that must be applied along the rope in order to cause the curved rod, which has a radius of 5 ft, to fail at the support C. This requires a moment of M = 80 Ib to be...

Given the three nonzero vectors A, B, and C, show that if ,A (B X C) = 0 the three vectors must lie in the same plane.

Determine the coordinate direction angles of the force F applied at the end of the pipe such that the moment of F about point A is zero. 1 ft -A -2 ft- 3 ft 45 B F

If F = {550i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the moment of F about point A. 1 ft, z A -2 ft- 3 ft 45 B -y

The force F = {400i - 100j - 700k} lb acts at the end of the beam. Determine the moment of this force about point O. 1.5 ft X B -0.25 ft F 8 ft

In order to pull out the nail at B, the force F exerted on the handle of the hammer must produce a clockwise moment of 500 lbin. about point A. Determine the required magnitude of force F. 18 in. 30...

The tower crane is used to hoist a 2-Mg load upward at constant velocity. The 1.5-Mg jib BD and 0.5-Mg jib BC have centers of mass at G 1 and G 2 , respectively. Determine the required mass of the...

If the tension in the belt is 52 lb, determine the moment of each of these forces about the pin at A. 8 in. A 30 20 -5 in.- F = 52 lb 6 in. MAFU F = 52 lb

Determine the orientation (0 < < 180) of the 40-lb force F so that it produces (a) The maximum moment about point A (b) No moment about point A. Find the moment in case (a). 8 ft- 2 ft

The cable exerts a force of P = 6 kN at the end of the 8-m-long crane boom. If x = 10 m, determine the position of the boom so that this force creates a maximum moment about point O. What is this...

Two forces act on the skew caster. Determine the resultant moment of these forces about point A and about point B. 1.25 in. 2.5 in. 60 80 lb B 10 lb 2 in.

Determine the angle at which the 500-N force must act at A so that the moment of this force about point B is equal to zero. Im B 2 m- 10.3 E 500 N

Determine the shear force and moment acting at point D of the beam. - 6 ft- 9 ft D 2 kip/ft 9 ft- B

The beam-column is fixed to the floor and supports the load shown. Determine the normal force, shear force, and moment at points A and B. 5 kN 0.6 m 0.2 m 2m A B 0.8 kN. m 2.5 kN 0.4 m

The pliers are used to grip the tube at B. If a force of 20 lb is applied to the handles, determine the shear force and moment at point C. Assume the jaws of the pliers exert only normal forces on...

The structural connections transmit the loads shown to the column. Determine the normal force, shear force, and moment acting in the column at a section passing horizontally through point A. 30 mm 16...

Determine the normal force, shear force, and moment in the shaft at points B and D. These points lie just to the right of the 150-lb force and the bearing at C, respectively. There is a thrust...

Determine the moments of inertia for the shaded area with respect to the u and v axes. v y 0.5 in. 5 in. 1 in. 30 4 in.- u -0.5 in. 10.5 in. X

Determine the moment of inertia for the beams crosssectional area about the x axis that passes through the centroid C of the cross section. N 0] 25 mm 200 mm, 45 45 25 mm 100 mm 100 mm C 200 mm 45% 45

Determine which locates the centroid C of the crosssectional area of the wing channel, and then determine the moment of inertia I x about the centroidal x axis. Neglect the effect of rounded...

Determine the moment of inertia of the beams crosssectional area about the y axis. 30 mm 140 mm 30 mm 30 mm K 70 mm 30 mm 170 mm -x X

Determine the moment of inertia of the beams crosssectional area about the x axis. 30 mm 140 mm 30 mm y Js 30 mm 70 mm 30 mm 170 mm X