A spring block system (mass = m, spring constant k) is placed on a smooth inclined plane (θ = angle of inclination). The plane isaccelerated horizontally with a such that the block does not loose contact with the plane. The time period of small oscillation of theblock is
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a
2πmk
b
2πmsinθk
c
2πmgka
d
none of the above.
answer is A.
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Detailed Solution
x0∴ elongation in equilibrium ∴macosθ+mgsinθ=kx0For x = elongation from equilibrium net force =mgsinθ+macosθ−kx0+x =−k x (1)∴acc=−kxm ⇒T=2πmk