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Which of the following is a necessary and sufficient condition for S.H.M?
Constant period
Constant acceleration
Proportionality between acceleration and displacement from equilibrium position
Proportionality between restoring force and displacement from equilibrium position
If a hole is bored along the diameter of the earth and a stone is dropped into whole ____.
the stone reaches the centre of the earth and stops there
the stone reaches the other side of the earth and stops there
the stone executes simple harmonic motion about the centre of the earth
the stone reaches the other side of the earth and escapes into space
The acceleration of a particle in S.H.M. is ____.
always zero
always constant
maximum at the extreme position
maximum at the equilibrium position
The displacement of a particle moving in S.H.M. at any instant is given by . The acceleration after time is (where T is the time period) ____.
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 ____.
Which of the following is a necessary and sufficient condition for S.H.M?
Constant period
Constant acceleration
Proportionality between acceleration and displacement from equilibrium position
Proportionality between restoring force and displacement from equilibrium position
If a hole is bored along the diameter of the earth and a stone is dropped into whole ____.
the stone reaches the centre of the earth and stops there
the stone reaches the other side of the earth and stops there
the stone executes simple harmonic motion about the centre of the earth
the stone reaches the other side of the earth and escapes into space
The displacement of a particle moving in S.H.M. at any instant is given by . The acceleration after time is (where T is the time period) ____.
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 small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 s. The maximum force acting on it is ____.
98.596 N
985.96 N
100.2 N
76.23 N
A body executing simple harmonic motion has a maximum acceleration equal to and maximum velocity equal to. The amplitude of the simple harmonic motion is ____.
For a particle executing simple harmonic motion, which of the following statements is not correct?
The total energy of the particle always remains the same
The restoring force of always directed towards a fixed point
The restoring force is maximum at the extreme positions
The acceleration of the particle is maximum at the equilibrium position
A particle of mass 10 grams is executing simple harmonic motion with amplitude of 0.5 m and periodic time of . The maximum value of the force acting on the particle is ____.
25 N
5 N
2.5 N
0.5 N
The displacement of an oscillating particle varies with time (in seconds) according to the equation y (cm) = sin. The maximum acceleration of the particle is approximately ____.
A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by ____.
(Where A and K are positive constants)
– A Kx
A cos (Kx)
A exp (– Kx)
A Kx
A body is vibrating in simple harmonic motion with amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is ____.
A particle executes harmonic motion with an angular velocity and maximum acceleration of 3.5 rad / s and 7.5 m/s2 respectively. The amplitude of oscillation is ____.
0.28 m
0.36 m
0.53 m
0.61 m
A 0.10 kg block oscillates back and forth along a horizontal surface. Its displacement from the origin is given by: . What is the maximum acceleration experienced by the block?