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A particle oscillates with undamped simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is true?
It is least when the speed is greatest.
It is always in the opposite direction to its velocity.
It is proportional to the frequency.
It decreases as the potential energy increases.
Which one of the following statements is true when an object performs simple harmonic motion about a central point O?
The acceleration is always away from O
The acceleration and velocity are always in opposite directions.
The acceleration and the displacement from O are always in the same direction.
The graph of acceleration against displacement is a straight line.
Which one of the following statements is not true for a body vibrating in simple harmonic motion when damping is present?
The damping force is always in the opposite direction to the velocity.
The damping force is always in the opposite direction to the acceleration.
The presence of damping gradually reduces the maximum potential energy of the system.
The presence of damping gradually reduces the maximum kinetic energy of the system.
The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which one of the following is also doubled?
the time period
the total energy
the maximum velocity
the maximum acceleration
When the length of a simple pendulum is decreased by 600 mm, the period of oscillation is halved. What was the original length of the pendulum?
A body executes simple harmonic motion. Which one of the graphs, A to D, best shows the relationship between the kinetic energy, Ek, of the body and its distance from the centre of oscillation?
The displacement (in mm) of the vibrating cone of a large loudspeaker can be represented by the equation x = 10 cos (150t), where t is the time in s. Which line, A to D, in the table gives the amplitude and frequency of the vibrations.
A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct?
The applied force prevents the amplitude from becoming too large.
The frequency of the applied force is the same as the natural frequency of oscillation of the system.
The total energy of the system is constant.
The amplitude of oscillations depends on the amount of damping.
A particle of mass 0.20 kg moves with simple harmonic motion of amplitude 2.0 × 10–2m.
If the total energy of the particle is 4.0 × 10–5J, what is the time period of the motion?
The graph shows the variation in displacement with time for an object moving with simple harmonic motion. What is the maximum acceleration of the object?
0.025 m s–2
0.99 m s–2
2.5 m s–2
9.8 m s–2
Two pendulums, P and Q, are set up alongside each other. The period of P is 1.90 s and the period of Q is 1.95 s.
How many oscillations are made by pendulum Q between two consecutive instants when P and Q move in phase with each other?
A particle of mass m oscillates in a straight line with simple harmonic motion of constant amplitude. The total energy of the particle is E.
What is the total energy of another particle of mass 2m, oscillating with simple harmonic motion of the same amplitude but double the frequency?
The bob of the pendulum moves faster at the lowest position for a larger amplitude.
A body executes simple harmonic motion. The potential energy, the kinetic energy and total energy are measured as a function of displacement x. Which of the following statements is true?
Kinetic energy is maximum when x = 0
Total energy is zero, when x = 0
Kinetic energy is maximum when x is maximum
Potential energy is maximum when x = 0
The ratio of frequencies of two pendulums is 2:3 then their lengths are in ratio
If a spring of mass 30kg has a spring constant of 15N/m, then its time period is
Simple harmonic motion is defined as the motion of a particle such that
its displacement x from the equilibrium position is always given by the expression x = Asinωt
its displacement x from the equilibrium position is related to its velocity by the expression v=ωx
its acceleration is proportional to, and in the opposite direction to, the displacement from the equilibrium position.
Its acceleration is always ω2A and is directed at right angles to its motion
A mass M suspended from a string L undergoes SHM. Which of the following is true about the period of oscillations?
The period increases with increasing amplitude
The period increases with increasing mass
The period increases with decreasing length
The period increases with increasing length
A simple pendulum with a length of 1 m oscillates on the surface of a hypothetical planet X. What is the
surface gravity on the planet if the period of oscillations is 4 s?