Assuming that Icirc cedil is small, derive the equations of motion of the systems shown in parts (a) and (b) of Figure When Icirc cedil 0 the systems are in equilibrium Are the systems stable, neutrally stable, or unstable a b in 45 135 L itt

Question: Assuming that Î¸ is small, derive the equations of motion of the systems shown in parts (a) and (b) of Figure. When Î¸ = 0

Assuming that Î¸ is small, derive the equations of motion of the systems shown in parts (a) and (b) of Figure. When Î¸ = 0 the systems are in equilibrium. Are the systems stable, neutrally stable, or unstable?
a.

in 45 135 L. itt

Step by Step Solution

★★★★★

3.48 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Assume that the equilibrium position corresponds to 0 Let f 45 o and d be th... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

755-C-D-S-D (253).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!

The "sky crane" shown on the text cover was a novel solution to the problem of landing the 2000 lb Curiosity rover on the surface of Mars. Curiosity hangs from the descent stage by 60-ft long nylon...

In Figure model the three shafts as mass less tensional springs. When 1= 2 = 0 the springs are at their free lengths. Derive the equations of motion with the torque T2 as the input.

(a) Obtain the equations of motion of the system shown in Figure. (b) Suppose the inertias are I1 = I and I2 = 21 and the torsional spring constants are k1 = k2 = h = k. Obtain the transfer functions...

Assuming that Î¸ is small, derive the equation of motion of the pendulum shown in Figure. The input is y(t) and the output is Î¸. The equilibrium corresponds to y =...

Problem# 1 A system is restricted to oscillate in the vertical plane as shown in Figure 1 . Find the natural frequency n of the system assuming small oscillations from equilibrium. Problem# 2 Find...

if youo donot have matlab, then ignore plotting part Given is the following system: Be L Figure 2: Problem setup a) Derive the equations of motion for this system, in order to gauge a tactical...

Derive the equation of motion for the lever system shown in Figure P4.54, with the force f as the input and the angle Î¸ as the output. The position Î¸ = 0 corresponds to the...

Consider the mechanical system shown in Figure 5.91, where the motion of the rod is small angular rotation. When $\theta=0$ and $f=0$, the deformation of each spring is zero and the system is at...

Refer to Section 2.4.9 given in the course text on pages 31-33. This example refers to the results given in Figure 2.14 that were produced by solving the model eqs. 2-98 to 2-101 using a numerical...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

Explain why you agree or disagree with the following statement: Retained earnings are like money in the bank. If you are running out of cash, you can always use some of your retained earnings to pay...

Management at Webster, in Problem is now concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed. Webster is placing its...

50. Asurvey of commercial buildings served by the Cincinnati Gas & Electric Company asked what main heating fuel was used and what year the building was constructed. A partial crosstabulation of the...

Consider the CUBIF estimator defined in Section 7.3. (a) Show that he correction term c (a, b) defined above (7.26) is a solution of the equation Em1(a)(????H b (y g (a) c (a, b))) = 0. (b) In the...

The 5.5-Mg humpback whale is stuck on the there due to changes in the tide. In an effort to rescue a whale, 12-Mg tugboat is used to pull it fee using an inextensible rope tied to its tail. To...

The uniform beam has a weight of 5000 lb. Determine the average tension in each of the two cables AB and AC if the beam is given an upward speed of 8 ft/s in 1.5 s starting from rest. Neglect the...

The 5-kg block is moving downward at v1= 2 m/s when it is 8 m from the sandy surface. Determine the impulse of the sand on the block necessary to stop its motion. Neglect the distance the block dents...

Martin Industries just paid an annual dividend of $1.60 a share. The market price of the stock is $27.70 and the growth rate is 9.0 percent. What is the firm's cost of equity? 9.56 percent 16.68...

(74) Hypoth x (74) Interpr x (74) Interpr x C Is There A [ x * Search Res x C The Same x G wha irses/13778/assignments/348159?module_item_id=827118 Do men take a different amount of time than women...

The YTM on a bond is the interest rate you earn on your investment if interest rates dont change. If you actually sell the bond before it matures, your realized return is known as the holding period...