SHM

The cathode-ray oscilloscope (c.r.o.) display shows the waveform produced by an electronic

circuit. The c.r.o. time-base is set at 10 ms per division. What is the period of the signal shown?

• 20 ms

• 30 ms

• 40 ms

• 80 ms

The displacement of particle performing simple harmonic motion is given by,

x = 8 sin wt (m) and the period is 0.3 seconds. What is the position of this harmonic oscillator at t = 0.9 seconds?

• 0 m

• 4 m

• 8 m

• 16 m

An object undergoes SHM and position as a function of time is presented by the following formula: x=- 0.2 sin (2πt) m. What is the period of oscillations?

• -0,2 s

• 1 s

• 0,5 s

• 4 s

3) The position as a function of time of a mass-spring oscillating system is presented by the graph. Which of the following is true about velocity and acceleration at the time 8 s?

• v = 0 a < 0

• v = 0 a > 0

• v < 0 a = 0

• v >0 a = 0

An object oscillates at the end of a spring. The position as a function of time is presented by the graph. Which of the following formulas represent the position and velocity of the object?.

• x = (7.5) Sin(π/2t) v = (7.5π/2) Cos(π/2t)

• x = (7.5) Sin(π/2t) v =- (7.5π/2) Cos(π/2t)

• x = (7.5) Cos(π/2t) v =- (7.5π/2) Sin(π/2t)

• x = (7.5π) Sin(π/2t) v = (7.5) Sin(π/2t)

Washing machines and buses will often vibrate violently when the engine oscillates at their natural frequency. Which of the following concepts explains this situation?

• Resonance

• Damping

• Forced oscillation

• SHM

Resonance occurs in harmonic motion when

• the system is overdamped

• the system is critically damped

• . the energy in the system is a minimum

• the driving frequency is the same as the natural frequency of the system

A simple pendulum on earth has a period of 6.0 s. What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

• 1.0 s

• 15 s

• 2.4 s

• 6 s

The position of a simple harmonic oscillator is given by x(t)=(0.50m)(cos pi/3 t)

.Where t is in seconds. What is the period of the oscillator?

• 6 s

• 1.5 s

• 3.0 s

• 0.67 s

The following diagram shows the displacement-time graph for an oscillating mass. Using the grph find out which of the folloing statement is correct.

• The velocity at point B is zero and displacement at point B is -0.20 m

• The velocity at point B is 0.3 m/s and displacement at point B is zero

• The velocity at point C is 0.4 m/s and displacement is also 0.4 m

• The velocity at point A is -0.10 m/s and displacement is 0.28 m