Free Printable Chapter 19 Oscillations

Worksheets

Chapter 19 Oscillations

Total questions: 17

Worksheet time: 21mins

Name

Class

Date

Which of the following statements about an object which performs simple harmonic motion is true?

The acceleration is zero when the displacement is maximum.

The velocity is maximum when the displacement is zero.

The velocity is directly proportional to the displacement.

The acceleration is positive when the displacement is positive.

A particles is in simple harmonic motion. When its displacement from a point O is x, the acceleration of the particle is -kx. The period T of the simple harmonic motion is

$2\pi k$

$2\pi\sqrt{k}$

$\frac{2\pi}{k}$

$\frac{2\pi}{\sqrt{k}}$

The variation with time t of the displacement x of a particle in simple harmonic motion form point O is given as x=5.0 sin 20t. What is the period of the simple harmonic motion?

0.050 s

0.20 s

0.22 s

0.31 s

A particle is in simple harmonic motion. The amplitude of the motion is 3.0 m and the frequency is 20 Hz. At time t=0, the displacement of the particle from the equillibrium position is x=+3.0 m. Which equation correctly represents the variation of displacement x with time t?

x=3.0 sin $20\pi t$

x=3.0 sin $40\pi t$

x=3.0 cos $20\pi t$

x=3.0 cos $40\pi t$

At the instant t₁, the displacement is 2.5 cm. What is the displacement 1.0 s after t₁?

0 cm

-2.5 cm

2.5 cm

5.0 cm

The displacement of a particle moving in simple harmonic motion is given by x=5 cos 2t where x is in centimetres and the time t in seconds. If the period of the motion is T, the acceleration of the particle at t= $\frac{T}{6}$ is

-17.3 cm $s^{-2}$

-10.0 cm $s^{-2}$

+10.0 cm $s^{-2}$

+17.3 cm $s^{-2}$

The graph shows the variation of displacement x against time t of a body in simple harmonic motion. Which statement is true?

The period is 0.30 s.

The angular frequency is 0.40 s^-1.

The frequency is 2.5 Hz.

The amplitude is 10.0 cm.

An object moves with simple harmonic motion with amplitude A. What is the position x of the object when the kinetic energy of the object equals twice its potential energy?

$\frac{1}{\sqrt{3}}A$

$\frac{1}{\sqrt{2}}A$

$\frac{1}{3}A$

$\frac{1}{2}A$

A body of mass m performs simple harmonic motion with angular frequency $\omega$ . The maximum kinetic energy of the body is K. What is the amplitude of oscillation?

$\sqrt{\frac{K}{2m\omega^2}}$

$\sqrt{\frac{2K}{m\omega^2}}$

$\sqrt{\frac{2K\omega^2}{m}}$

$\sqrt{\frac{K\omega^2}{2m}}$

10.

A particle is in simple harmonic motion of amplitude 5.0 cm and period of 2.4 s. At time t=0, it is at x= -5.0 cm. Write the equation to represent the variation of displacement x with time t. Please write $\pi$ as pi

(a)

11.

A simple pendulum oscillates with small amplitude, and its frequency is f. If its length is doubled, what is the new frequency of its motion?

$\frac{1}{2}f$

$\frac{1}{\sqrt{2}}f$

$\sqrt{2}f$

$2f$

12.

Which of the following statements is not true regarding a mass-spring system that moves with simple harmonic motion in the absence of friction?

The total energy of the system remains constant.

The total energy of the system is proportional to the square of the amplitude of oscillation.

The energy of the system is continually transformed between kinetic of the mass and potential energy in the spring.

The potential energy stored in the sprig is greatest when the mass passes through the equilibrium position.

13.

A block-spring system is vibrating in simple harmonic motion on a frictionless horizontal surface. The block has a mass of 0.050 kg and the force constant of the spring is 800 N m^-1. What is the frequency of the vibration?

0.50 Hz

10 Hz

20 Hz

30 Hz

14.

A spring extends by 1.00 cm when an object of a mass is hung vertically from the spring. The mass is then set into vertical oscillation. What is the period of oscillation?

0.161 s

0.200 s

1.27 s

6.34 s

15.

Deduce the expression for the period of oscillation. Type $\pi$ as pi, $\sqrt{ }$ as surd

(a)

16.

An oscillatory system is critically damped. Which statement is true?

The amplitude of oscillation decreases exponentially.

The displacement decreases to zero in a short time.

Energy dissipates from the system linearly with time.

The system takes a long time to come to rest.

17.

A simple pendulum is forced into oscillation by an external driving force of frequency. If the damping is reduced, what are the changes to the resonance frequency and the sharpness of resonance?

Resonance frequency greater than f₀, Sharpness of resonance increases

Resonance frequency greater than f₀, Sharpness of resonance decreases

Resonance frequency smaller than f₀, Sharpness of resonance increases

Resonance frequency smaller than f₀, Sharpness of resonance decreases

100 %

Chapter 19 Oscillations

Total questions: 17

Worksheet time: 21mins

Similar Resources on Wayground