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Question

Question: A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere re...

A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches bottom

A

57gsinθ\frac{5}{7}g\sin\theta

B

35gsinθ\frac{3}{5}g\sin\theta

C

27gsinθ\frac{2}{7}g\sin\theta

D

25gsinθ\frac{2}{5}g\sin\theta

Answer

57gsinθ\frac{5}{7}g\sin\theta

Explanation

Solution

Acceleration (1) =gsinθ1+K2R2=gsinθ1+25=57gsinθ= \frac{g\sin\theta}{1 + \frac{K^{2}}{R^{2}}} = \frac{g\sin\theta}{1 + \frac{2}{5}} = \frac{5}{7}g\sin\theta.