1 ) The displacement of an object in SHM is given by y(t) = (7.9 cm)sin[(1.65 ra

Question

1 ) The displacement of an object in SHM is given by y(t) = (7.9 cm)sin[(1.65 rad/s)t]. What is the frequency of the oscillations? unit in HZ

2 ) A body is suspended vertically from an ideal spring of spring constant 3.5 N/m. The spring is initially in its relaxed position. The body is then released and oscillates about its equilibrium position. The motion is described by the following equation.
y = (4.1 cm) sin [(0.80 rad/s)t]
What is the maximum kinetic energy of the body? unit in mj

3 ) What is the period of a pendulum consisting of a 7.2-kg mass oscillating on a 3.3-m-long string? unit in s.

Explanation / Answer

Given 1) y(t) = 7.9 cm sin (1.65 rad/s) t This is in the form of equation y = A sin t where angular frequency , = 1.65 rad/s Frequency , f = / 2                      = (1.65 rad/s) / 2*3.14                   f = 0.26 Hz 3) Mass , m = 7.2kg    Length of the string , l = 3.3 m     Time period, T = 2 l /g                             = 2 *3.14 *3.3m /9.8 m/s^2                          T = 3.64 s * post only question for single post*

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