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

A 60-g steel sphere attached to a 200-mm cord can swing about point O in a vertical plane. It is subjected to its own weight and to a force F exerted by a small magnet embedded in the ground.The magnitude of that force expressed in newtons is F= 3000/r2 , where r is the distance from the magnet to the sphere expressed in millimeters. Knowing that the sphere is released from rest at A , determine its speed as it passes through point B.

Subject: Dynamics of Rigid Bodies

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

(t3 – 6t2 – 15t + 7) meters, where t is 4. A particle moves in a straight line and its position is defined as s = in seconds. (a) Determine its instantaneous velocity (m/s) when t = 12 sec. (b) Determine its average speed (m/s) when t = 12 sec. (c) Determine its average velocity (m/s) when t = 12 sec.

The car A has a forward speed of 22 km/h and is accelerating at 3.7 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate = 3.4 rev/min of the Ferris wheel is constant. R 9.6 m Answers: VA/B = ( aA/B = ( i i 22= 3.4 rev/min B 51 i+ i i+ i j) m/s j) m/s²

In a game of billiards, ball A is given an initial velocity Vo = 3 m/sec along line DA, parallel to the axis of the table. It hits ball B and then ball C, which are both at rest. Knowing that A and C hit the sides of the table squarely at points G and E, respectively, and B hits the side obliquely at F, and assuming frictionless surfaces and perfectly elastic impacts, determine the velocity Vc with which the ball C hits the side of the table at E. 2.4m 0.6m VA 0.9m 0.9m V=3 m/s 0.6m 2.1m

letter d and e please

Determine the speed of the block shown in the figure at B. 6 m/s A B

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