A body performs simple harmonic motion of period about

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

A body performs simple harmonic motion of period

2.0\,\text{s}

about

x = 0

. Its displacements at two instants are recorded as follows: •

x = 0.12\,\text{m}

t = 0.25\,\text{s}

•

x = -0.08\,\text{m}

t = 0.75\,\text{s}

(i) Taking the cosine form of displacement, set up two simultaneous equations in the unknown amplitude

A

and initial phase

\phi

. (ii) Solve the equations to obtain numerical values of

A

and

\phi

(answer for

\phi

in radians within the range

-\pi < \phi \le \pi

). (iii) Using the values found, compute the displacement and velocity of the body at

t = 1.0\,\text{s}