Home
Class 12
PHYSICS
Two particles A and B are performing SHM...

Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of `2 cm` and `1 Hz` respectively. Equilibrium positions of the particles A and B are at the coordinates `[3 cm, 0]` and `(0, 4 cm)` respectively. At `t = 0 ,B` is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin-
Equation of motion of particle A can be written as-

A

`x = (2 cm) cos 2pit`

B

`x = (3 cm) - (2 cm) cos 2 pit`

C

`x = (2 cm) sin 2 pit`

D

`x = (3 cm) - (2 cm) sin 2pit`

Text Solution

Verified by Experts

The correct Answer is:
B
As A is at its negative extreme at `t = 0`
so `x - 3 = 2 sin (2pit + 3pi//2) rArr x = 3-2 cos (2pit)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-04 [A]|20 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-05 [A]|39 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension Base Questions (4)|2 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

Two particles A and B performing SHM along x and y- axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the co-ordinates (3, 0) and (0, 4) respectively. At t = 0, B is at its equilibrium positions and moving towards the origin, while A is nearest to the origin and moving away from the origin. If the maximum and minimum distances between A and B is s_(1) and s_(2) then find s_(1) + s_(2) (in cm ).

(i) A particle of mass m executes SHM in xy- plane along a straight line AB. The points A (a, a) and B (- a, - a) are the two extreme positions of the particle. The particle takes time T to move from one extreme A to the other extreme B. Find the x component of the force acting on the particle as a function of time if at t = 0 the particle is at A. (ii) Two particle A and B are performing SHM along X-axis and Y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions for the particles A and B are at the coordinate (3, 0) and (0, 4) respectively. At t = 0, B is at its equilibrium position and moving toward the origin, while A is nearest to the origin. Find the maximum and minimum distances between A and B during their course of motion

Knowledge Check

  • Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the coordinates [3 cm, 0] and (0, 4 cm) respectively. At t = 0 ,B is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin- Minimum and maximum distance between A and B during the motion is-

    A
    `sqrt(5) cm` and `sqrt(61) cm`
    B
    `3 cm` and `7 cm`
    C
    `1 cm` and `5 cm`
    D
    `9 cm` and `16 cm`

  • Two particles A and B move along the straight lines x+2y+3=0 and 2x+y-3=0 respectively. Their positive vector, at the time of meeting will be

    A
    `3hat(i)+3hat(j)`
    B
    `3hat(i)-3hat(j)`
    C
    `(hat(i))/3-(hat(j))/3`
    D
    Particles never meet

  • A particle is performing SHM along x-axis with amplitude 6.0 cm and time period 12 s. What is the minimum time taken by the particle to move from x=+3cm to x=+6cm and back again?

    A
    1 s
    B
    2 s
    C
    4 s
    D
    6 s

    • Similar Questions

    Explore conceptually related problems

    A particle is performing SHM along x- axis with amplitude 4.0cm and time period 1.2s . What is the minimum time is deci - second taken by the particle to move from x=+2cm to x=+4cm and back again.

    A particle moving with S.H.M. has velocitiesof 4 cm//s and 3 cm//s at distances of 3 cm and 4 cm respectively from the equilibrium position. Find (a)The amplitude of the osciallation (b) Time period (c ) The velocity of the particle as is pases through the equilibrium position.

    A particle vibrates in SHM along a straight line.Its greatest acceleration is 5 pi^(2)cms^(-2) and when its distance from the equilibrium position is 4cm ,the velocity of the particle is 3 pi cms^(-1)

    Two particles A and B oscillates in SHM having same amplitude and frequencies f_(A) and f_(B) respectively. At t=0 the particle A is at positive extreme position while the particle B is at a distance half of the amplitude on the positive side of the mean position and is moving away from the mean position.

    A particle of mass 10 gm is describing S.H.M. along a straight line with period of 2 sec and amplitude of 10 cm . Its kinetic energy when it is at 5 cm from its equilibrium position is

    Home
    Profile