The displacement of a particle along the x-axis is given by x = a sin² ωt. The motion of the particle corresponds to

Simple harmonic motion of frequency ω/π

Simple harmonic motion of frequency 3ω/2π

non-simple harmonic motion

Simple harmonic motion of frequency ω/2π

Solution

non-simple harmonic motion

Given X = a sin² ωt

$X = a (\frac{1 - \cos 2 ωt}{2}) [∵ \cos 2 θ = 1 - 2 \sin^{2} θ] or X = \frac{a}{2} - \frac{a \cos 2 ωt}{2} Now, V = \frac{dx}{dt} = aω \sin 2 ωt and a = \frac{dv}{dt} = 2 {aω}^{2} \cos 2 ωt$

Here, a is not directly proportional to (-x) which is a condition for SHM.

Some More Questions From Oscillations Chapter

A particle of mass m executes simple harmonic motion with amplitude ‘a’ and frequency ‘ν’. The average kinetic energy during its motion from the position of equilibrium to the end is

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency ω. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

The function sin²(ωt) represents

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

For Daily Free Study Material Join wiredfaculty

Oscillations

The displacement of a particle along the x-axis is given by x = a sin² ωt. The motion of the particle corresponds to

Simple harmonic motion of frequency ω/π

Simple harmonic motion of frequency 3ω/2π

non-simple harmonic motion

Simple harmonic motion of frequency ω/2π

Some More Questions From Oscillations Chapter

A particle of mass m executes simple harmonic motion with amplitude ‘a’ and frequency ‘ν’. The average kinetic energy during its motion from the position of equilibrium to the end is

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency ω. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

The function sin²(ωt) represents

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Oscillations

The displacement of a particle along the x-axis is given by x = a sin2 ωt. The motion of the particle corresponds to Simple harmonic motion of frequency ω/π Simple harmonic motion of frequency 3ω/2π non-simple harmonic motion Simple harmonic motion of frequency ω/2π

Some More Questions From Oscillations Chapter

A particle of mass m executes simple harmonic motion with amplitude ‘a’ and frequency ‘ν’. The average kinetic energy during its motion from the position of equilibrium to the end is

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency ω. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

The function sin2(ωt) represents

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The displacement of a particle along the x-axis is given by x = a sin² ωt. The motion of the particle corresponds to

Simple harmonic motion of frequency ω/π

Simple harmonic motion of frequency 3ω/2π

non-simple harmonic motion

Simple harmonic motion of frequency ω/2π

The function sin²(ωt) represents