Questions and Answers of Engineering Mechanics Dynamics

In the pinewood-derby event shown, the car is released from rest at the starting position A and then rolls down the incline and on to the finish line C. If the constant acceleration down the incline
Experimental data for the motion of a particle along a straight line yield measured values of the velocity v for various position coordinates s. A smooth curve is drawn through the points as shown in
Ball 1 is launched with an initial vertical velocity v1 = 160 ft/sec. Three seconds later, ball 2 is launched with an initial vertical velocity v2. Determine v2 if the balls are to collide at an
A particle in an experimental apparatus has a velocity given by v = k√s, where v is in millimeters per second, the position s is millimeters, and the constant k = 0.2 mm1/2s−1. If the particle
Calculate the constant acceleration a in g’s which the catapult of an aircraft carrier must provide to produce a launch velocity of 180 mi/hr in a distance of 300 ft. Assume that the carrier is at
The acceleration of a particle is given by a = c1 + c2v, where a is in millimeters per second squared, the velocity v is in millimeters per second, and c1 and c2 are constants. If the particle
The acceleration of a particle is given by a = −ks2, where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its
The acceleration of a particle is given by a = −kt2, where a is in meters per second squared and the time t is in seconds. If the initial velocity of the particle at t = 0 is v0 = 12 m/s and the
The acceleration of a particle is given by a = 2t − 10, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial
The displacement of a particle which moves along the s-axis is given by s = (−2 + 3t)e−0.5t, where s is in meters and t is in seconds. Plot the displacement, velocity, and acceleration versus
The velocity of a particle which moves along the s-axis is given by v = 2 − 4t + 5t3/2, where t is in seconds and v is in meters per second. Evaluate the position s, velocity v, and acceleration a
The position of a particle is given by s = 0.27t3 − 0.65t2 − 2.35t + 4.4, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time
The velocity of a particle is given by v = 25t2 − 80t − 200, where v is in feet per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6 seconds of
The weight of one dozen apples is 5 lb. Determine the average mass of one apple in both SI and U.S. units and the average weight of one apple in SI units. In the present case, how applicable is the
Determine the dimensions of the quantity where ρ is density and v is speed.
Determine the base units of the expression in both SI and U.S. units. The variable m represents mass, g is the acceleration due to gravity, r is distance, and t is time. E mgr dt
Determine the ratio RA of the force exerted by the sun on the moon to that exerted by the earth on the moon for position A of the moon. Repeat for moon position B. Sunlight AO B
Consider a woman standing on the earth with the sun directly overhead. Determine the ratio Res of the force which the earth exerts on the woman to the force which the sun exerts on her. Neglect the
Determine the angle θ at which a particle in Jupiter’s circular orbit experiences equal attractions from the sun and from Jupiter. Use Table D /2 of Appendix D as needed. Sun my + Jupiter Not to
Calculate the distance d from the center of the earth at which a particle experiences equal attractions from the earth and from the moon. The particle is restricted to the line through the centers of
Determine the distance h for which the spacecraft S will experience equal attractions from the earth and from the sun. Use Table D/2 of Appendix D as needed. SX- Sun h Earth 200 000 km Not to scale
A space shuttle is in a circular orbit at an altitude of 200 mi. Calculate the absolute value of g at this altitude and determine the corresponding weight of a shuttle passenger who weighs 180 lb
Determine the absolute weight and the weight relative to the rotating earth of a 60-kg woman if she is standing on the surface of the earth at a latitude of 35°.
At what altitude h above the north pole is the weight of an object reduced to one-third of its earth-surface value? Assume a spherical earth of radius R and express h in terms of R.
Two uniform spheres are positioned as shown. Determine the gravitational force which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. y Сopper 2R 6R 35° R Titanium Problem
Consider two iron spheres, each of diameter 100 mm, which are just touching. At what distance r from the center of the earth will the force of mutual attraction between the contacting spheres be
Determine your mass in slugs. Convert your weight to newtons and calculate the corresponding mass in kilograms.
For the given vectors V1 and V2, determine V1 + V2, V1 + V2, V1 − V2, V1 × V2, V2 × V1, and V1∙V2. Consider the vectors to be non dimensional. y V2 = 12 V = 15 60° x- Problem 1/3
For the 3500-lb car, determine (a) its mass in slugs, (b) its weight in newtons, and (c) its mass in kilograms. W = 3500 lb Problem 1/1

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