Home Physics Simple Harmonic Motion (Oscillations) Equation of SHM A particle having mass 10 g oscillates accor…
Physics Simple Harmonic Motion (Oscillations) Equation of SHM MCQ (Single Correct)

A particle having mass 10 g oscillates according to the equation x = (2.0 cm) sin [(100 s –1 ) t+ /6]. Find

A
the amplitude, the time period and the force constant
B
the position, the velocity and the acceleration at t = 0.

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

2.0 cm, s = 0.063 s, 100 N/m

1.0 cm, m/s, –100 m/s 2

x = (2.0 cm) sin

Compare this equation with

x = A sin (ꞷt + ɸ)

⇒ A = 2.0 cm

T = = = 0.0635

K = mꞷ 2 = 100 2 = 100 N/m

x t=0 = 2.0 sin = 1 cm

v = 200 cos

v t=0 = 200 cos

= 100 cm/s = m/s

a = –20000 sin = 10000 cm/s 2

= –100 m/s 2

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