A linear harmonic oscillator of force constant 2 × 10 6 N m - 1 and amplitude 0 . 01 m has a total mechanical energy of 160 J . Its

maximum potential energy is 160 J .

maximum potential energy is 100 J .

maximum potential energy is zero.

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The figure shows a cube of mass $m$ and edge length a mounted on an axle through its centre. A spring of force constant $k$ connects the cubes upper corner to a rigid wall. Initially the spring is in natural length. If the cube is given a small angular displacement and released, its angular frequency is

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Important Questions on Oscillations

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 4

Blocks $A$ and $B$ of masses $m$ and $2 m$ respectively connected by an ideal spring of force constant $k$ rest on a smooth horizontal surface (see figure). Block $B$ is shifted distance $l$ towards left and then released. The velocity of centre of mass of the system of $A$ and $B$ after block $A$ loses contact with the wall is

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 5

A smooth massless horizontal rod

P Q

is free to rotate about a vertical axis through end

P .

The rod is filled with a small sized sleeve of mass

m

connected to the end

P

by an ideal spring of length

L_{0}

and force constant

k .

The work performed to slowly increase the angular velocity to the value

\sqrt{\frac{k}{2 m}}

\frac{p k L_{0}^{2}}{4} .

The value of

p

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 7

Displacement-time equation of two particles moving along

x

-axis are

x_{1} = 4 + 4 sinω t

and

x_{2} = 3 cosω t

where

ω = π rad s^{- 1} .

Maximum separation will be at time

t

equal to

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 11

The amplitude of a particle due to superposition of following SHMs. Along the same line is

X_{1} = 2 \sin (50 π t)

x_{2} = 10 \sin (50 π t + 37 °)

X_{3} = - 4 \sin (50 π t)

and

X_{4} = - 12 \cos (50 π t)

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 13

Consider the shown diagram. All pulleys are massless and frictionless, springs are ideal and all connecting strings are ideal. Find the natural frequency of the system shown in figure

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 10

A linear harmonic oscillator of force constant

2 \times 10^{6} N m^{- 1}

and amplitude

0.01 m

has a total mechanical energy of

160 J

. Its

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 11

Three simple harmonic motions in the same direction having the same amplitude and same period are superimposed. If each differ in phase from the next by

45 °

, then,

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 13

Blocks $P$ and $Q$ of masses $m$ and $3 m$ are connected by a spring of force constant $k .$ The system is placed on a smooth horizontal surface. At time $t = 0$ , block $P$ is projected horizontally with velocity $V_{0}$ towards right. Then

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Important Questions on Oscillations

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