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Example 38. To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springsof different spring constants. Consider a typical simulationwith a car of mass 1000 kg moving with a speed 18.0 kmhon a smooth road and colliding with a horizontally mountedspring of spring constant 6.25x 10 Nm What is themaximum compression of the spring?-1INCERT]

Answer»

The direction of friction is not always in the direction of motion in case of rolling. It depends on the net velocity of the lowermost point ,ie, translational velocity of COM – rotational velocity (wR)If v-wR > 0, then friction acts opposite to direction of motionv – wR < 0, then it acts in the direction of motion.

In this question, you can assume either of the two directions of motion because we are applying conservation of energy and the work done by friction woud be same in both cases.



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