Simple Harmonic...

The time period of the following periodic motions respectively are:

(a) sinωt + cosωt

(b) sinωt + cos2ωt + sin4ωt

A body oscillates with SHM according to the equation (in SI units) x = 5cos [2π t + π/4].

At t = 1.5 s, the displacement and speed of the body respectively are:

What is the length of a simple pendulum, which ticks seconds?

A 5 kg collar is attached to a spring of spring constant 500 N/m. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. The period of oscillation of the collar is:

For the damped oscillator shown in the figure, the mass m of the block is 200 g, k = 90 N/m  and the damping constant b is 40 g/s. The period of oscillation is

Which of the following statements is/are correct.

(a) Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is transverse and longitudinal, both.

(b) Waves produced in a cylinder containing a liquid by moving its piston back and forth is longitudinal.

(c) Waves produced by a motorboat sailing in water are transverse and longitudinal, both.

(d) Ultrasonic waves in air produced by a vibrating quartz crystal are longitudinal.

A body oscillates with SHM according to the equation (in SI units),
x = 5 cos [2π t + π/4].
At t = 1.5 s, acceleration of the body will be

A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is:

A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is:

Which one of the following statement/s is correct about simple harmonic motion?