Physics
Grade-9
Easy
Question
The periodic time of a body executing simple harmonic motion is 3 sec. After how many intervals from time t = 0, its displacement will be half of its amplitude:
-
sec -
sec 
sec
sec
secsecsecsec
Hint:
The equation for SHM is given by,
y=Asinωt and ω=2πf=2π/T
The correct answer is: sec
Given that, time period T=3seconds.
The equation for SHM is given by,
y=Asinωt and ω=2πf=2π/T
Let after time t=t, the displacement is half its amplitude,
A/2=Asin(2πt/3)
sin(π/6)=sin(2πt/3)
or, t=1/4 sec is our required answer.
or, t=1/4 sec is our required answer.
Related Questions to study
Physics
Force acting in simple harmonic motion is always:
Force acting in simple harmonic motion is always:
PhysicsGrade-9
Physics
Choose the correct statement from the following:
Assertion: In oscillatory motion, displacement of a body from equilibrium can be represented by sine or cosine function.
Reason: The body oscillates to and from about its mean position.
Choose the correct statement from the following:
Assertion: In oscillatory motion, displacement of a body from equilibrium can be represented by sine or cosine function.
Reason: The body oscillates to and from about its mean position.
PhysicsGrade-9
Physics
The displacement time graph of a particle executing S.H.M. is as shown in the figure:
The corresponding force-time graph will be:
The displacement time graph of a particle executing S.H.M. is as shown in the figure:
The corresponding force-time graph will be:
PhysicsGrade-9
Physics
Assertion: All small oscillations are simple harmonic.
Reason: Oscillations of a simple pendulum system are always simple harmonic whether the amplitude is small or large.
Assertion: All small oscillations are simple harmonic.
Reason: Oscillations of a simple pendulum system are always simple harmonic whether the amplitude is small or large.
PhysicsGrade-9
Physics
Two simple pendulums of length 1 m and 16 m respectively are given small displacements at the same time in the same direction. The number of oscillations ‘N’ of the smaller pendulum for them to be in phase again is:
Two simple pendulums of length 1 m and 16 m respectively are given small displacements at the same time in the same direction. The number of oscillations ‘N’ of the smaller pendulum for them to be in phase again is:
PhysicsGrade-9
Physics
Select the true statement(s) about SHM.
I. Acceleration display style alpha displacement is a sufficient condition for SHM.
II. Restoring force display style alpha displacement is a sufficient condition for SHM.
Select the true statement(s) about SHM.
I. Acceleration display style alpha displacement is a sufficient condition for SHM.
II. Restoring force display style alpha displacement is a sufficient condition for SHM.
PhysicsGrade-9
Physics
What is constant in S.H.M.?
What is constant in S.H.M.?
PhysicsGrade-9
Physics
In a simple pendulum, the period of oscillation T is related to the length of the pendulum l as:
In a simple pendulum, the period of oscillation T is related to the length of the pendulum l as:
PhysicsGrade-9
Physics
Assertion: The amplitude of an oscillating pendulum decreases gradually with time
Reason: The frequency of the pendulum decreases with time.
Assertion: The amplitude of an oscillating pendulum decreases gradually with time
Reason: The frequency of the pendulum decreases with time.
PhysicsGrade-9
Physics
Vibrations, whose amplitudes of oscillations decrease with time are called:
Vibrations, whose amplitudes of oscillations decrease with time are called:
PhysicsGrade-9
Physics
If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will:
If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will:
PhysicsGrade-9
Physics
The time period of a simple pendulum is 2 sec. If its length is increased 4 times, then its period becomes:
The time period of a simple pendulum is 2 sec. If its length is increased 4 times, then its period becomes:
PhysicsGrade-9
Physics
The total displacement of a particle in simple harmonic motion in one time period is:
The total displacement of a particle in simple harmonic motion in one time period is:
PhysicsGrade-9
Physics
For a body executing simple harmonic motion, which parameter comes out to be non-periodic?
For a body executing simple harmonic motion, which parameter comes out to be non-periodic?
PhysicsGrade-9
Physics
Select the incorrect statement(s) from the following.
I. A simple harmonic motion is necessarily periodic.
II. A simple harmonic motion may be oscillatory
III. An oscillatory motion is necessarily periodic
Select the incorrect statement(s) from the following.
I. A simple harmonic motion is necessarily periodic.
II. A simple harmonic motion may be oscillatory
III. An oscillatory motion is necessarily periodic
PhysicsGrade-9
