Q.

A particle moves along a circle of radius 5 cm with a period of 6 sec in the clockwise direction. At t = 0 the particle is at position A as shown in the Fig.The expression for the SHM of the x-projection of the radius vector of the particle is

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a

x=5 cos π3t+π8

b

x=-5 sinπ3t+π8

c

x=5 sinπ3t+π8

d

x=-5 cosπ3t-π8

answer is B.

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Detailed Solution

x= 5 sin ωt+π+π8=-5 sinπ3t+π8
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A particle moves along a circle of radius 5 cm with a period of 6 sec in the clockwise direction. At t = 0 the particle is at position A as shown in the Fig.The expression for the SHM of the x-projection of the radius vector of the particle is