A block of mass M is attached to the lower end of a vertical spring
A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with […]
Physics
Which one of the following equations of motion represents simple harmonic motion?
Which one of the following equations of motion represents simple harmonic motion?
Options
(a) Acceleration = -k(x + a) (b) Acceleration = k(x + a) (c) Acceleration = kx (d) Acceleration = -k₀x+ […]
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be:
Options
(a) πa […]
Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same
Two simple harmonic motions of angular frequency 100 and 1000 rad s⁻¹ have the same displacement amplitude. The ratio of other maximum accelerations is:
Options
(a) 1 : 10 (b) 1 : 10² (c) […]
A particle executes simple harmonic oscillations with an amplitude
A particle executes simple harmonic oscillations 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
The phase difference between the instantaneous velocity and acceleration of a particle
The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
Options
(a) π (b) 0.707π (c) zero (d) 0.5π
Correct Answer:
0.5π
Explanation:
Let y = […]
For a simple pendulum performing simple harmonic motion, the time period
For a simple pendulum performing simple harmonic motion, the time period is plotted against its length. The curve will be
Options
(a) straight line (b) circle (c) parabola (d) ellipse
Correct Answer:
parabola
The total energy of a simple harmonic oscillator is proportional to
The total energy of a simple harmonic oscillator is proportional to
Options
(a) square root of displacement (b) velocity (c) frequency (d) square of amplitude
Correct Answer:
square of amplitude
Explanation:
The total […]
A particle of mass M is executing oscillations about the origin on the x-axis.
A particle of mass M is executing oscillations about the origin on the x-axis. The potential energy is U(x)=k|x|³, where k is a positive constant. If the amplitude of oscillation is a, then its time […]
A point performs simple harmonic oscillation of period T and the equation of motion
A point performs simple harmonic oscillation of period T and the equation of motion is given by x=a sin(ωt+π/6). After the elapse of what fraction of the time period the velocity of the point will […]