MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

A simple pendulum of length $L$ is constructed from a point object of mass $m$ suspended by a massless string attached to a fixed pivot point. A small peg is placed a distance $2 L / 3$ directly below the fixed pivot point so that the pendulum would swing as shown in the figure below. The mass is displaced $5$ degrees from the vertical and released. How long does it take to return to its starting position?

50% studentsanswered this correctly

Important Questions on Simple Harmonic Motion

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 25

The frequency of a simple pendulum is

n

oscillations per minute while that of another is

(n + 1)

oscillations per minute. The ratio of length of first pendulum to the length of second is,

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 26

A system of two identical rods ( $L$ -shaped) of mass $m$ and length $l$ are resting on a peg $P$ as shown in the figure. It the system is displaced in its plane by a small angle $θ$ , find the period of oscillations

Question Image

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 27

The distance of point of a compound pendulum from its centre of gravity is

l

, the time period of oscillation relative to this point is

T

. If

g = π^{2}

, the relation between

l

and

T

will be,

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 28

A man of mass

60 kg

standing on a plateform executing S.H.M. in the vertical plane. The displacement from the mean position varies as

y = 0.5 \sin (2 π ft)

. The minimum value of

f

, for which the man will feel weightlessness at the highest point is: (

y

is in metres)

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 29

A heavy brass-sphere is hung from a spring and it executes vertical vibrations with period

T

. The ball is now immersed in nonviscous liquid with a density one-tenth that of brass. When set into vertical vibrations with the sphere remaining inside the liquid all the time, the period will be:

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 30

A particle of mass

m

moves in a one-dimensional potential energy

U (x) = - a x^{2} + b x^{4}

, where

a

and

b

are positive constants. The angular frequency of small oscillations about the minima of the potential energy is equal to

MEDIUM

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 31

A particle performs SHM of amplitude

A

along a straight line. When it is at a distance

\frac{\sqrt{3}}{2} A

from the mean position, its kinetic energy gets increased by an amount

\frac{1}{2} m ω^{2} A^{2}

due to an impulsive force. Then its new amplitude becomes:

EASY

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 32

A particle executes SHM on a line

8 cm

long. Its

K . E .

and

P . E .

will be equal when its distance from the mean position is:

Important Questions on Simple Harmonic Motion

Learn and Prepare for any exam you want !