The particle executing simple harmonic motion has a kinetic energy K₀ cos²ωt. The maximum values of the potential energy and the total energy are respectively
Options
(a) K₀/2 and K₀ (b) K₀ and […]
A thin wire of length L and mass M is bent to form a semicircle. What is the gravitational field at the centre?
Options
(a) πGM/L² along the line joining the ends (b) […]
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is
Options
(a) 4 Hz (b) 3 Hz (c) 2 Hz (d) 1 […]
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)
Options
(a) E/8 (b) E/4 (c) E/2 (d) 2E/3
A particle is executing the motion x=Acos (ωt-θ). The maximum velocity of the particle is
Options
(a) Aω cosθ (b) Aω (c) Aω sinθ (d) None of these
Correct Answer:
Aω
Explanation:
x = […]
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, then the new […]
When a mass M is attached to a spring of force constant K, then the spring stretches by l. If the mass oscillates with amplitude l, what will be maximum potential energy stored in the […]
Acceleration of a particle, executing SHM, at its mean position is
Options
(a) Infinity (b) Varies (c) Maximum (d) Zero
Correct Answer:
Zero
Explanation:
Acceleration = -ωy². At mean position y = 0 Acceleration […]
The velocity of a particle performing simple harmonic motion, when it passes through its mean position is
Options
(a) Infinity (b) Zero (c) Minimum (d) Maximum
Correct Answer:
Maximum
Explanation:
ν = ω […]
A spring has time period T. It is cut into n equal parts. The time period of each part will be
Options
(a) T√n (b) T/√n (c) nT (d) T
Correct Answer:
T/√n
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