The motion of a torsional pendulum is:
- Periodic.
- Oscillatory.
- Simple harmonic.
- Angular simple harmonic.
Question types
Simple Harmonic Motion question types
111 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
111
Questions
6
Question groups
5
Question types
01
M.C.Q [1M]
37 Q→021 Marks Question
11 Q→03Short Answer Type Questions [2M]
12 Q→043 Marks Question
20 Q→054 Marks Questions
4 Q→06Long Answer Type Questions [5M]
27 Q→Sample Questions
Simple Harmonic Motion questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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A particle moves in the X - Y plane according to the equation $\overrightarrow{\text{r}}=\Big(\overrightarrow{\text{i}}+2\overrightarrow{\text{j}}\Big)\text{A}\cos\omega\text{t}.$ The motion of the particle is:
View full solution →- On a straight line.
- On an ellipse.
- Periodic.
- Simple harmonic.
The displacement of a particle is given by $\overrightarrow{\text{r}}=\text{A}\big(\overrightarrow{\text{i}}\cos\omega\text{t}+\overrightarrow{\text{j}}\sin\omega\text{t}\big)$ The motion of the particle is:
View full solution →- Simple harmonic.
- On a straight line.
- On a circle.
- With constant acceleration.
Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant k1 and k2 respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of A to that of B is:
View full solution →-
$\frac{\text{k}_1}{\text{k}_2}$
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$\sqrt{\frac{\text{k}_1}{\text{k}_2}}$
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$\frac{\text{k}_2}{\text{k}_1}$
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$\sqrt{\frac{\text{k}_2}{\text{k}^1}}$
A particle moves in a circular path with a uniform speed. Its motion is:
- Periodic.
- Oscillatory.
- Simple harmonic.
- Angular simple harmonic.
A particle executing simple harmonic motion comes to rest at the extreme positions. Is the resultant force on the particle zero at these positions according to Newton's first law?
Can simple harmonic motion take place in a noninertial frame? If yes, should the ratio of the force applied with the displacement be constant?
A block of known mass is suspended from a fixed support through a light spring. Can you find the time period of vertical oscillation only by measuring the extension of the spring, when the block is in equilibrium?
A small creature moves with constant speed in a vertical circle on a bright day. Does its shadow formed by the sun on a horizontal plane move in a simple harmonic motion?
Can the potential energy in a simple harmonic motion be negative? Will it be so if we choose zero potential energy at some point other than the mean position?
In measuring time period of a pendulum, it is advised to measure the time between consecutive passage through the mean position in the same direction. This is said to result in better accuracy than measuring time between consecutive passage through an extreme position. Explain.
It is proposed to move a particle in simple harmonic motion on a rough horizontal surface by applying an external force along the line of motion. Sketch the graph of the applied force against the position of the particle. Note that the applied force has two values for a given position depending on whether the particle is moving in positive or negative direction.
The force acting on a particle moving along X-axis is F = -k(x - u0t) where k is a positive constant. An observer moving at a constant velocity v0, along the X-axis looks at the particle. What kind of motion does he find for the particle?
The angle made by the string of a simple pendulum with the vertical depends on time as $\theta=\frac{\pi}{90}\sin[(\pi\text{s}^{-1})\text{t}].$ Find the length of the pendulum if $\text{g}=\pi^2\text{m/s}^2.$
View full solution →A pendulum clock giving correct time at a place where g = 9.800m/s2 is taken to another place where it loses 24 seconds during 24 hours. Find the value of g at this new place.
The spring shown in figure is unstretched when a man starts pulling on the cord. The mass of the block is M. If the man exerts a constant force F, find
- The amplitude and the time period of the motion of the block,
- The energy stored in the spring when the block passes through the equilibrium position and,
- The kinetic energy of the block at this position.
Consider a simple harmonic motion of time period T. Calculate the time taken for the displacement to change value from half the amplitude to the amplitude.
The pendulum of a certain clock has time period 2.04s. How fast or slow does the clock run during 24 hours?
A simple pendulum of lerigth 1 feet suspended from the ceiling of an elevator takes $\frac{\pi}{3}$ seconds to complete one oscillation. Find the acceleration of the elevator.
View full solution →The maximum speed and acceleration of a particle executing simple harmonic motion are 10cm/s and 50cm/s2. Find the position(s) of the particle when the speed is 8cm/s.
A simple pendulum fixed in a car has a time period of 4 seconds when the car is moving uniformly on a horizontal road. When the accelerator is pressed, the time period changes to 3.99 seconds. Making an approximate analysis, find the acceleration of the car.
A simple pendulum of length I is suspended from the ceiling of a car moving with a speed v on a circular horizontal road of radius r.
- Find the tension in the string when it is at rest with respect to the car.
- Find the time period of small oscillation.
The ear-ring of a lady shown in has a 3cm long light suspension wire.
- Find the time period of small oscillations if the lady is standing on the ground.
- The lady now sits in a merry-go-round moving at 4m/s in a circle of radius 2m. Find the time period of small oscillations of the ear-ring.
A person goes to bed at sharp 10:00 pm every day. Is it an example of periodic motion? If yes, what is the time period? If no, why?
Assume that a tunnel is dug across the earth (radius = R) passing through its centre. Find the time a particle takes to cover the length of the tunnel if,
View full solution →- It is projected into the tunnel with a speed of $\sqrt{\text{gR}}.$
- It is released from a height R above the tunnel.
- It is thrown vertically upward along the length of tunnel with a speed of $\sqrt{\text{gR}}.$
In figure k = 100N/m, M = 1kg and F = 10N,
- Find the compression of the spring in the equilibrium position.
- A sharp blow by some external agent imparts a speed of 2m/s to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant.
- Find the time period of the resulting simple harmonic motion.
- Find the amplitude.
- Write the potential energy of the spring when the block is at the left extreme.
- Write the potential energy of the spring when the block is at the right extreme.
Consider a particle moving in simple harmonic motion according to the equation $\text{x}=2.0\cos(50\pi\text{t}+\tan^{-1}0.75)$ where x is in centimetre and t in second. The motion is started at t = 0.
View full solution →- When does the particle come to rest for the first time?
- When does the acceleration have its maximum magnitude for the first time?
- When does the particle come to rest for the second time?
Find the time period of small oscillations of the following systems.
View full solution →- A metre stick suspended through the 20cm mark.
- A ring of mass in and radius r suspended through a point on its periphery.
- A uniform square plate of edge a suspended through a corner.
- A unifrom disc of mass m and radius r suspended through a point $\frac{\text{r}}{2}$ away from the centre.
Find the time period of the oscillation of mass m in figure What is the equivalent spring constant of the pair of springs in each case?
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