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Question

Question: A weight W attached to the end of a flexible rope of diameter d = 0.75cm is raised vertically by win...

A weight W attached to the end of a flexible rope of diameter d = 0.75cm is raised vertically by winding the rope on a reel as shown. If the reel is turned uniformly at the rate of 2 rps. What is the tension in rope. The inertia of rope may be neglected –

A

1.019 W

B

0.51 W

C

2.04 W

D

W

Answer

1.019 W

Explanation

Solution

WT\downarrow _ { \mathrm { W } } ^ { \mathrm { T } } WaT=W(1+ag)=6π\prod ^ { \mathrm { W } } \mathrm { a } \quad \mathrm { T } = \mathrm { W } \left( 1 + \frac { \mathrm { a } } { \mathrm { g } } \right) = 6 \pi