A simple harmonic oscillator of angular frequency 2 rad

Asked by admin @ 23/08/2021 in Physics viewed by 286 People

A simple harmonic oscillator of angular frequency 2 rad/s is acted upon by an external force

Answered by admin @ 23/08/2021

Your question is incomplete. A complete question is ----> A simple harmonic oscillator of angular frequency 2rads−1 is acted upon by an external force F=sint N. If the oscillator is at rest in its equilibrium position at t=0, its position at later times is proportional to

( A ) cost−1/2sin2t

( B ) sint+1/2cos2t

( C ) sint+1/2sin2t

( D ) sint−1/2sin2t

solution : we know, from Newton's 2nd law, F = ma = m(dv/dt) = sint

so, m dv/dt = sint

or, $m\int{dv}=\int\limits^t_0{sint}\,dt$

or, $mv=[-cost]^t_0$

or, mv = 1 - cost

again, v = dx/dt

so, m(dx/dt) = 1 - cost

or, $m\int{dx}=\int\limits^t_0{(1-cost)}\,dt$

or, $mx=[t-sint]^t_0$

or, $mx=t-sint$

here, at t = 0, x = 0 and v = 0

so, now check from which option it is possible.

option (D) x = sint -1/2 Sint follow the above conditions .

hence, option (D) is correct choice.

Calculate the reactance of a 0.5 f capacitor that is connected to a battery with peak voltage 2 v and angular frequency 200 radians/s.

Asked by maham237 @ 11/01/2021 in Physics viewed by 268 persons

A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is

Asked by maham237 @ 13/01/2021 in Physics viewed by 1204 persons

Mind map for light reflection and refraction class 10

Asked by admin @ 23/08/2021 in Physics viewed by 1146 persons

The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.

Asked by maham237 @ 10/01/2021 in Physics viewed by 1099 persons

A thief runs at a speed of 10m s

Asked by admin @ 23/08/2021 in Physics viewed by 1095 persons

A 5.8 x 10 4 watt elevator motor can lift

Asked by maham237 @ 20/06/2021 in Physics viewed by 1080 persons

A simple harmonic oscillator of angular frequency 2 rad

Similar Questions

A simple pendulum is oscillating with an angular amplitude 60

A point performs simple harmonic oscillations of period t

For audio frequency applications the popular oscillator used is

Superposition of two collinear harmonic oscillations having equal frequencies

A linear harmonic oscillator of force constant 2x10 6

A particle executes simple harmonic motion according to equation

A spring mass system oscillates with a frequency v

A wheel has angular acceleration of 3 rad s2

Which type of oscillator is most stable in simple circuit

Two simple harmonic motions are represented by y1 5

Two simple harmonic motions are represented by the equations

Which equation can be used to model simple harmonic motion

In a simple harmonic oscillator at the mean position

Which physical quantity remains conserved in simple harmonic motion

Calculate the reactance of a 0.5 f capacitor that is connected to a battery with peak voltage 2 v and angular frequency 200 radians/s.

Most viewed questions in Physics

Jeevandeep health and physical education std 10 answers pdf

Hc verma physics class 9 solutions of describing motion

How to leave nightmare land answer key

Base area and stability of some objects with different shapes

Which of the following statements about safe lifting are correct

Porous water-absorbing mass of fibers

Absorption of water by filter paper is due to

A composite wire of uniform diameter 3mm

At a distance l 400m from the traffic light

A rocket of mass m is launched straight up with thrust f⃗ thrust.

A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is

Mind map for light reflection and refraction class 10

The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.

A thief runs at a speed of 10m s

A 5.8 x 10 4 watt elevator motor can lift