A particle B of mass 5 kg is attached to a frictionless pivot A by a thread of length
d – 0.2 m so that B hangs freely. At some instant of time a strong wind begins to
apply a constant horizontal force F = 100 N to B, as a result it rotates about A in
a vertical plane. Find the speed (in m/s)
of B at the instant when the string is horizontal
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Explanation:
- So the initial velocity u = 0, F = 100 N
- By work energy theorem we have
- Net work done on a body W net = Net change in kinetic energy Δ K.E
- W net = Δ K.E
- W f + W mg = Δ K.E (Now S = √2 d)
- So F x S cos theta + mgh (-1) = ½ mv^2 – 0
- 100 x √2 d x 1 / √2 – 5 x 10 x 0.2 = 5/2 v^2
- 5/2 v^2 = 20 – 10
- v^2 = 10 x 2 / 5
- v^2 = 4
- Or v = √4
- Or v = 2 m / s
Reference link will be
https://brainly.in/question/3630504
https://brainly.in/question/11206079
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