Oscillation
The maximum velocity of a particle executing simple harmonic motion with an amplitude of 5 mm and frequency of 2 Hz is
A) 10 mm/sec
B) 20 mm/sec
C) 30 mm/sec
D) 40 mm/sec
A spring of force constant k is cut into two equal parts. The force constant of each part is
A) \(k/2\)
B) \(k\)
C) \(2k\)
D) \(4k\)
The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, the new time period will be
A) \(T/4\)
B) \(T/2\)
C) \(2T\)
D) \(4T\)
A particle executes simple harmonic motion with an angular velocity of 3.5 rad/sec and maximum acceleration of 7.5 m/sec². The amplitude of oscillation is
A) 0.28 m
B) 0.36 m
C) 0.53 m
D) 0.61 m
The equation of motion of a particle is \(\frac{d^2x}{dt^2} + kx = 0\). The time period of motion is given by
A) \(\frac{2 \pi}{k}\)
B) \(\frac{2 \pi}{\sqrt{k}}\)
C) \(\frac{2 \pi}{k}\)
D) \(\frac{2 \pi}{\sqrt{k}}\)
A particle is executing SHM with amplitude A. The displacement at which its kinetic energy is equal to its potential energy is
A) \(A/2\)
B) \(A/\sqrt{2}\)
C) \(A/4\)
D) \(A/3\)
Two springs of spring constants \(k_1\) and \(k_2\) are connected in series. The effective spring constant is
A) \(k_1 + k_2\)
B) \(\frac{k_1 k_2}{k_1 + k_2}\)
C) \(k_1 + k_2\)
D) \(k_1 k_2\)
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