Q.

When the angular velocity of a uniformly rotating body has increased thrice, the resultant of force applied to it increases by 60 newton. Find the acceleration of the body in two cases. The mass of the body, m = 3 kg

Moderate

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a

2⋅5m/s2,7⋅5m/s2

b

7⋅5m/s2,22⋅5m/s2

c

5m/s2,45m/s2

d

2⋅5m/s2,22⋅5m/s2

answer is 4.

(Detailed Solution Below)

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Detailed Solution

Given,       F1=mrω02and    F2=mr3ω02∴ ΔF=F2−F1=mr9ω02−ω02=8mrω02or     60×8×3×rω02   or     rω02=(60/24)Now      a1=rω02=60/24=2⋅5m/s2and     a2=arω02=9×2⋅5=22⋅5m/s2
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