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Q.

Two blocks tied with a massless string of length 3 m are placed on a rotating table as shown. The axis of rotation is 1 m from 1 kg mass and 2 m from 2 kg mass. The angular speed ω=4rad/s. Ground below 2 kg block is smooth and below 1 kg block is rough. (Take, g=10 m/s2 )

Two blocks tied with a massless string of length 3 m are placed on a table  rotating at an angular speed ω=4 rad / s. The axis of rotation is 1 m

If coefficient of friction between 1 kg block and ground is μ=0.8. Find maximum angular speed so that neither of the blocks slips.

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a

2.83rad/s

b

0.66rad/s

c

 1.63rad/s

d

0.23rad/s

answer is C.

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Detailed Solution

fmax=μm1g=0.8×1×10=8 N

Question Image

T=m2r2ω2=(2)(2)ω2=4ω2

T-8=m1r1ω2=(1)(1)ω2=ω2

 Solving Eqs. (i) and (ii), we get 

ω=1.63rad/s

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