In the given Figure, P is a rigid support and the string is massless and inextensible. A horizontal force of 98 N acts on the block B as shown. The masses of blocks A, B and C are 2kg, 5kg and 1kg res

Question

In the given Figure, P is a rigid support and the string is massless and inextensible. A horizontal force of 98 N acts on the block B as shown. The masses of blocks A, B and C are 2kg, 5kg and 1kg respectively. Assume that all the contact are smooth and the pulleys are massless. What is the time (in millisecond) after which the small block C falls off the surface of B if it is initially at a distance of 0.11 m from the left edge as shown

TestHub · Accepted Answer

String constraint: 4 a A ​ + a C ​ = 2 a B ​ Force equations: 4 T = 2 a A ​ , T = 1 × a C ​ , 98 − 2 T = 5 a B ​ Solving: T = 4 N, a C ​ = 4 m/s 2 , a B ​ = 18 m/s 2 C separates from B with relative acceleration 18 + 4 = 22 m/s 2 over 0.11 m 0.11 = 2 1 ​ × 22 × t 2 gives t = 0.1 s = 100 ms

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