A block C of mass m rests on a smooth table.Two blocks A and B each of mass m, are attached to the end of a light inextensible string passing over a smooth pulley fixed to C as shown .B rests on ac and A can move in a frictionless vertical shaft.Find the acceleration of C.
Asked by m.nilu
26th July 2018,
11:04 AM
Answered by Expert
Answer:
Let the block-C move towards left with acceleration a1 and Block-B move towards right with acceleration a2 .
Then block-A moves downwards with acceleration (a1+a2). Free Body diagrams for all the blocks are shown in figure.
for the block-A, we have
N = m×a1 .................................(1)
m×g - T = m×(a1 + a2 ) ..............(2)
for the block-B, we have, T = m×a2 ............... (3)
for the block-C, we have, T -N = m×a1 ....................(4)
By solving these four equations we get the four unknowns, a1 , a2 , T and N as follows
a1 = (1/5)g , a2 = (2/5)g , T = m× (2/5)g , N = m×(1/5)g
Answered by Expert
6th August 2018,
6:16 PM
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