The angular velocities of three bodies in simple harmonic motion are ω1,ω2,ω3 with their respective amplitudes as A1,A2,A3. If all the three bodies have same mass and maximum velocity, then

(a) A1ω1=A2ω2=A3ω3        (b)  A1ω12=A2ω22=A3A32

(b) A12ω1=A22ω2=A32ω3   (d) A12ω12=A22ω22=A2  

Subtopic:  Simple Harmonic Motion |
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The amplitude of a particle executing SHM is 4 cm. At the mean position the speed of the particle is 16 cm/sec. The distance of the particle from the mean position at which the speed of the particle becomes 83cm/sec will be

(1)         23cm             

(2)  3cm

(3)         1 cm                   

(4)  2 cm

Subtopic:  Simple Harmonic Motion |
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The maximum velocity of a simple harmonic motion represented by y=3 sin 100t+π6 is given by

(1)       300       

(2)   3π6

(3)      100         

(4)   π6

Subtopic:  Simple Harmonic Motion |
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The displacement equation of a particle is x=3sin 2t+4cos 2t  The amplitude and maximum velocity will be respectively

(a) 5, 10      

(b) 3, 2

(c) 4, 2       

(d) 3, 4

Subtopic:  Simple Harmonic Motion |
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The instantaneous displacement of a simple pendulum oscillator is given by x=A cos ωt+π4 . Its speed will be maximum at time

(1) π4ω      

(2) π2ω

(3) πω                

(4) 2πω

Subtopic:  Simple Harmonic Motion |
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The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is

(a)      144π2m/sec2        (b)     144m/sec2

c)      144π2m/sec2           (d)     288π2m/sec2   

Subtopic:  Simple Harmonic Motion |
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A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by

(1)   – A Kx           

(2)   A cos (Kx)

(3)   A exp (– Kx

(4)   A Kx

Subtopic:  Simple Harmonic Motion |
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What is the maximum acceleration of the particle doing the SHM y=2sinπt2+ϕ where 2 is in cm

(a)  π2cm/s2                 (b)    π22cm/s2

(c)    π4cm/s2               (d)    π4cm/s2

Subtopic:  Simple Harmonic Motion |
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A particle executes simple harmonic motion along a straight line with an amplitude A. The potential energy is maximum when the displacement is

(1)     ±A          

(2)    Zero

(3)     ±A2         

(4)   ±A2

Subtopic:  Energy of SHM |
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The potential energy of a particle with displacement X depends as U(X). The motion is simple harmonic, when (K is a positive constant)

(1) U=KX22                 

(2) U=KX2   

(3)  U=K                       

(4) U=KX 

Subtopic:  Energy of SHM |
 81%
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