To determine The magnitude of the force P to make the normal reaction at B to be zero. Explanation Draw the free body diagram of the cart and cylinder as shown in Figure 1. Refer Figure 1a, Consider both cylinder and cart: Resolve the forces along x − axis (motion along x − axis ). ∑ F x = m a x P − ( M + m ) g sin 15 ° = ( M + m ) a x a x = P − ( M + m ) g sin 15 ° M + m a x = P M + m − g sin 15 ° Here, the mass of the cylinder is m , the gravitational acceleration is g , the acceleration along x − axis is a x , the mass of the cart is M , and force acting on the cart is P . Refer Figure 1b, Consider the Cylinder only: Resolve the forces along x − axis (motion along x − axis ). ∑ F x = m a x N A cos 30 ° − N B cos 30 ° − m g sin 15 ° = m ( P M + m − g sin 15 ° ) ( N A − N B ) cos 30 ° − m g sin 15 ° = m ( P M + m − g sin 15 ° ) (I) Here, the normal reaction at A is N A and the normal reaction at B is N B . Resolve the force along y − axis (no motion along y − axis )

8th Edition

ISBN: 9781118885840

Author: James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher: WILEY

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Chapter 3.4, Problem 13P

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The magnitude of the force P to make the normal reaction at B to be zero.

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