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Question

The wheel of radius r=300 mm rolls to the right without slipping and has a velocity V0=3m/s of its centre 0. The speed of the point A on the wheel for the instant represented in the figure is :-
1430357_15daf88b435a4acd981dd73b380ae3e9.png

A
4.36m/s
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B
5m/s
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C
3m/s
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D
1.5m/s
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Solution

The correct option is A 4.36m/s
V0=ωr0

3m/s=ω×300mm

3m/s=ω×0.3m

10rad/s=ω

v=ωr=2m/s

v0=3m/s

Vnet=v2+v20+2vv0cosθ

=4+9+2×2×3×12

=13+6=19=4.36

1477053_1430357_ans_1b062a6fe3eb4b089be1e2617d069e6f.png

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