Questions
In figure, lower pulley is free to move in vertical direction only. Block A is given a uniform velocity u as shown, what is velocity of block B as a function of angle .
a
ucosθ
b
ucosθ
c
u[1+sinθ]cosθ
d
u[1+cosθ]sinθ
detailed solution
Correct option is C
Let in a small time dt, displacement of A is dx and displacement of B is dy. Increase in length l1= dx.Increase in length l2=dxsinθ−dycosθBut net increase in length should be zero, sodx+dxsinθ−dycosθ=0⇒ dy=(1+sinθ)dxcosθ⇒ dydt=1+sinθcosθdxdt⇒v=1+sinθcosθuTalk to our academic expert!
Similar Questions
For the system shown in figure, the pulleys are light and frictionless. The tension in the string will be
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