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Questions  

A particle is executing simple harmonic motion according to the equation x=(5cos100t+12sin100t) cm where t is time in second. Then maximum velocity of the particle is

a
12 m/s
b
13 m/s
c
17 m/s
d
8 m/s

detailed solution

Correct option is B

x=(5cos⁡100t+12sin⁡100t)cmAmplitude=52+122⇒A=13 cm; Angular frequency ω=100 rad/s∴ Vmax⁡=ωA=100×(13×10−2)m/s=13 m/s

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