A loaded railroad car is rolling at a constant velocity when it couples with a spring and dashpot bumper system. After the coupling,  the motion of the car is defined by the relation x 5 60e 24.8t  sin 16t, where x and t are expressed in millimeters and seconds, respectively. Determine the position, the velocity, and the acceleration of  the railroad car when (a) t 5 0, (b) t 5 0.3 s

+16-17. A motor gives gear A an angular acceleration of aA = (2 + 0.006 02) rad/s², where is in radians. If this gear is initially turning at @A 15 rad/s, determine the angular velocity of gear B after A undergoes an angular displacement of 10 rev.

The figure shown is on a fixed frictionless axle. It has a moment of inertia of 1 = 50 kg-m². The forces acting on the object are F₁ = 100 N, F₂ = 200 N, and F3 = 250 N acting at different radii R₁ =60 cm, R₂ = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object. F F2 R₂ R F3

5. In preliminary design studies for a sun- powered car, it is estimated that the mass of the car and driver will be m kg and the torque produced by the engine will result in a F, newton tangential force on the car. Suppose that the car starts from rest on the track at A and is subjected to a constant F, newton tangential force. Determine the magnitude of the car's .newton velocity and the normal component of R m END A START • l m m = 102 kg Figure 5. F. = 120 296 force on the car when it reaches B. .m R = 94 .m