If \(x = 5 \mathrm {sin }\left(\pi t+ {\dfrac {\pi} 3}\right)~\text m\) represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively are:
Question 2.
The displacement-time \((x\text-t)\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2\) s is:
Question 3.
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:
Question 4.
The distance covered by a particle undergoing SHM in one time period is: (amplitude = A)
Question 5.
A particle executes linear simple harmonic motion with amplitude of \(3~\text{cm}\). When the particle is at \(2~\text{cm}\) from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:
Question 6.
A particle is executing a simple harmonic motion. Its maximum acceleration is and maximum velocity is . Then its time period of vibration will be:
Question 7.
The oscillation of a body on a smooth horizontal surface is represented by the equation, \(X=A \text{cos}(\omega t)\),
where \(X=\) displacement at time \(t,\)\(\omega=\) frequency of oscillation.
Which one of the following graphs correctly shows the variation of acceleration, \(a\) with time, \(t?\)
(\(T=\) time period)
Question 8.
The displacement of a particle along the x-axis is given by, x = asin2t. The motion of the particle corresponds to:
Question 9.
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at will be:
Question 10.
Which one of the following equations of motion represents simple harmonic motion where k, k0, k1, and a are all positive?
Great Job! continue working on more practice questions?
Question 1.
Two points are located at a distance of \(10\) m and \(15\) m from the source of oscillation. The period of oscillation is \(0.05\) s and the velocity of the wave is \(300\) m/s. What is the phase difference between the oscillations of two points?
Question 2.
A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is:
Question 3.
The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is:
Question 4.
A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ. If it is given a small vertical displacement from equilibrium, it undergoes oscillation with a time period T. Then:
Question 5.
Which one of the following statements is true for the speed \(v\) and the acceleration \(a\) of a particle executing simple harmonic motion?
Question 6.
Two pendulums suspended from the same point have lengths of \(2\) m and \(0.5\) m. If they are displaced slightly and released, then they will be in the same phase when the small pendulum has completed:
Question 7.
If the time of mean position from amplitude (extreme) position is \(6\) seconds, then the frequency of SHM will be:
Other Topics of that Section
Uniformly Accelerated Motion Practice Test Questions with Solutions Attempt Now
Application of Laws Practice Test Questions with Solutions Attempt Now
Acceleration due to Gravity Practice Test Questions with Solutions Attempt Now
Friction Practice Test Questions with Solutions Attempt Now
Dimensions Practice Test Questions with Solutions Attempt Now
Projectile Motion Practice Test Questions with Solutions Attempt Now
Angular Momentum Practice Test Questions with Solutions Attempt Now
Types of Processes Practice Test Questions with Solutions Attempt Now
Conduction Practice Test Questions with Solutions Attempt Now
Moment of Inertia Practice Test Questions with Solutions Attempt Now
Ideal Gas Equation Practice Test Questions with Solutions Attempt Now
Center of Mass Practice Test Questions with Solutions Attempt Now
Torque Practice Test Questions with Solutions Attempt Now
Beats Practice Test Questions with Solutions Attempt Now
Circular Motion Practice Test Questions with Solutions Attempt Now
Attempt Now
