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WorksheetsSimple harmonic motion and circular motion
Total questions: 19
Worksheet time: 33mins
The period of an oscillatory motion is defined as the
average of the times used in completing different numbers of oscillations
time to complete a number of oscillations
time to complete one oscillation
time taken to move from one extreme position to the other
A loaded spring performs simple harmonic motion with an amplitude of 5cm. If the maximum acceleration of the load is 20cm/s², calculate the angular frequency of the motion.
2 rad/s
4 rad/s
5 rad/s
10 rad/s
The frequency of a swinging pendulum is the
number of complete oscillations the pendulum makes in one second.
number of amplitudes the bob makes in one second.
angle the bob swings through in one second.
distance the bob covers in one second.
Which of the following statements about an object performing simple harmonic motion is correct? Its acceleration
is maximum at the extreme ends.
is constant and directed towards a fixed point.
is zero when it is displaced from the equilibrium position.
varies linearly with the displacement from a fixed point and is directed towards the fixed point.
An object is said to undergo oscillatory motion when it moves
in an erratic manner
to and fro about a fixed point
in a circular path
along a continuous path from the starting point
A swinging pendulum between the rest position and its maximum displacement possesses
kinetic energy only
potential energy only
gravitational energy only
both kinetic and potential energy
A block of mass 4.0kg causes a spiral spring to extend by 0.16m from its unstretched position. The block is removed and another body of mass 0.50 kg is hung from the same spiral spring. If the spring is then stretched and released, what is the angular frequency of the subsequent motion?
[g = 10 ms-2]
10√5 rad/s
5√2 rad/s
5 rad/s
√5 rad/s
A mass attached to a string is moving in a circular path. If the speed is doubled, the tension in the string will be
doubled
halved
four times as great
one-fourth as much
The period of a simple pendulum of length 80.0cm was found to have doubled when the length of the pendulum was increased by X. Calculate X.
26.7cm
40.0cm
160.0cm
240.0cm
A vertical string, suspended from a fixed point and having a small mass attached to the free end is set into oscillations. Which of the following statements about the system are correct?
I. The potential energy of the mass is a minimum at the middle of the swing.
II. Its kinetic energy is a maximum at the middle of the swing.
III. The sum of the potential and kinetic energies is constant throughout the swing.
I, II and III
I and II only
II and III only
I and III only
Two simple pendula A and B of equal lengths and of masses 5g and 20g respectively are located in the same environment. The periods Ta and Tb of their respective oscillation are related by the equations
Ta = 4Tb
Ta = ¼Tb
Ta = Tb
Ta = ⅔Tb
The maximum displacement on either side of the equilibrium position of an object in simple harmonic motion represents
period
amplitude
wavelength
frequency
The period of a simple pendulum X is 5s. What is the period of a simple pendulum Y which makes 50 vibrations in the same time it takes X to make 20 vibrations?
12.5 s
2.5 s
2.0 s
1.2 s
Which of the following graphs correctly represents the relationship between the kinetic energy Ek and the displacement (d) from point of release of a swinging pendulum bob?
A loaded spring is set in simple harmonic motion. The force that tends to restore the load to its equilibrium position is
adhesive
gravitational
elastic
frictional
The diagram above illustrates an object moving in a circular path at constant speed. Which of the arrows indicates the direction of linear velocity?
W
X
Y
Z
A body moving with simple harmonic motion in a straight line has velocity, v and acceleration, a, when the instantaneous displacement, x, in cm, from its maximum position is given by x = 2.5sin0.4πt, where t is in seconds.
Determine the magnitude of the maximum velocity.
0.040 m/s
0.032 m/s
4.0 m/s
3.2 m/s
A body moving with simple harmonic motion in a straight line has velocity, v and acceleration, a, when the instantaneous displacement, x, in cm, from its maximum position is given by x = 2.5sin0.4πt, where t is in seconds.
Determine the magnitude of the maximum acceleration.
0.040 m/s²
0.032 m/s²
4.0 m/s²
3.2 m/s²
A body of mass 20g performs a simple harmonic motion at a frequency of 5 Hz . At a distance of 10 cm from the mean position, its velocity is 200 cm/s. Taking g=10 m/s² and π = 3.14
1. Calculate its maximum displacement from the mean position;
2. Calculate its maximum velocity;
3. Calculate its maximum potential energy.
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