Mechanics : The lovable Devil
The 2 loose ends of the string are pulled with velocities same velocity u(sorry for the mistake in the diagram) .Find the velocity with which 'm' moves upwards.The string is inclined to the normal with the same angle a.
Note : The pulleys and the string are massless and frictionless.
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1 solution
Assume the velocity of the block to be v. Now the velocity of either string is u (otherwise the string will become slack, or break). Thus, the component of the block's velocity on the sting is u. =>v*Cos(a)=u, or v=u/Cos(a)