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Question: A spring wrapped on a wheel of MOI 0.2 kg m<sup>2</sup> and radius 10 cm over a light pulley to supp...

A spring wrapped on a wheel of MOI 0.2 kg m2 and radius 10 cm over a light pulley to support a block of mass 2 kg as shown in fig. Find the acceleration of the block.

A

0.89 ms-2

B

1.12 ms-2

C

0.69 ms-2

D

None

Answer

0.89 ms-2

Explanation

Solution

2a = 2g – T ……….. (i)

T.r = Iα

or T = Ir2a=0.2(0.1)2\frac{I}{r^{2}}a = \frac{0.2}{(0.1)^{2}} ………. (ii)

From equation (i) and (ii)

a = 2g(2+20)=0.89ms−2\frac{2g}{(2 + 20)} = 0.89ms^{- 2}