Q.
The angular acceleration of a particle moving along a circle is given by α=ksinθ, where θ is the angle turned by particle and k is constant. The centripetal acceleration of the particle in terms of k,θ and R (radius of circle) is given by :
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a
2kRsin2θ
b
2kR(sinθ)
c
2kR(1+cosθ)
d
2kR(1−cosθ)
answer is D.
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Detailed Solution
α=ksinθ∫ωdω=∫ksinθdθω22=−[kcosθ]0θ⇒ω22=−k[cosθ−1]ω2=2k(1−cosθ)ac=ω2R=2kR(1−cosθ)
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