HARD

Earn 100

A block of mass $m$ is attached to three identical springs A, B and C each of force constant $k$ as shown in figure. If the block is moved down a bit against the spring $A$ and then released, the time period of oscillations will be

50% studentsanswered this correctly

Important Questions on Laws of Motion

EASY

Physics>Mechanics>Laws of Motion>Spring Force

A tunnel is dug along the diameter of the earth. A mass

m

is dropped into it. How much time does it take to cross the earth?

HARD

Physics>Mechanics>Laws of Motion>Spring Force

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass $M$ . The piston and the cylinder have equal cross-sectional area $A$ . When the piston is in equilibrium, the volume of the gas is $V_{0}$ and its pressure is $M_{0}$ . The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency
[Assume the system is in space.]

EASY

Physics>Mechanics>Laws of Motion>Spring Force

Which of the following plots represents schematically the dependence of the time period of a pendulum if measured and plotted as a function of its oscillations? (Note: amplitude need not be small)

EASY

Physics>Mechanics>Laws of Motion>Spring Force

A body of mass,

m

is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass

m

is slightly pulled down and released, it oscillates with a time period of

3 s

. When the mass

m

is increased by

1 kg

, the time period of oscillations becomes

5 s

. The value of

m

kg

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

A particle is executing simple harmonic motion

(S H M)

of amplitude

A,

along the

x

-axis, about

x = 0 .

When its potential Energy

(P E)

equals kinetic energy

(K E),

the position of the particle will be:

HARD

Physics>Mechanics>Laws of Motion>Spring Force

A particle executes simple harmonic motion and it is located at

x = a, b

and

c

at time

t_{0}, 2 t_{0} a n d 3 t_{0}

respectively. The frequency of the oscillation is:

HARD

Physics>Mechanics>Laws of Motion>Spring Force

A particle moves with simple harmonic motion in a straight line. In first

τ s

, after starting from rest it travels a distance a, and in next

τ s

it travels 2a, in same direction, then :

EASY

Physics>Mechanics>Laws of Motion>Spring Force

A simple pendulum of length

L

has mass

M

and it oscillates freely with amplitude

A

. At the extreme position, its potential energy is (

g

= acceleration due to gravity)

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

The position co-ordinates of a particle moving in a $3 D$ coordinate system is given by

$x = a \cos ω t$

$y = a \sin ω t$

and $z = a ω t$

The speed of the particle is:

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

A rod of mass

M

and length

2 L

is suspended at its middle by a wire. It exhibits torsional oscillations. If two masses, each of mass

m

, are attached at a distance

L / 2

from its centre on both sides, it reduces the oscillation frequency by

20 %

. The value of ratio

m / M

is close to

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

A light balloon filled with helium of density,

ρ_{H e}

is tied to a long light string of length,

l

and the string is attached to the ground. If the balloon is displaced slightly in the horizontal direction from the equilibrium and released then.

HARD

Physics>Mechanics>Laws of Motion>Spring Force

A particle executes simple harmonic motion with an amplitude of

5 cm

. When the particle is at

4 cm

from the mean position, the magnitude of its velocity in

SI

units is equal to that of its acceleration. Then, its periodic time in seconds is:

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

A particle is executing simple harmonic motion with a time period

T

. At time

t = 0

, it is at its position of equilibrium. The kinetic energy - time graph of the particle will look like:

EASY

Physics>Mechanics>Laws of Motion>Spring Force

A particle is executing SHM along a straight line. Its velocities at distances

x_{1}

and

x_{2}

from the mean position are

V_{1}

and

V_{2}

respectively. Its time period is:

EASY

Physics>Mechanics>Laws of Motion>Spring Force

A particle is performing SHM starting from extreme position. Graphical representation shows that, between displacement and acceleration, there is a phase difference of

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

Many random snapshots using a camera are taken of a particle in simple harmonic motion between,

x = - x_{0}

and

x = + x_{0}

with origin

x = 0

as the mean position. A histogram of the total number of times the particle is recorded about a given position (event no) would most closely resemble,

HARD

Physics>Mechanics>Laws of Motion>Spring Force

A particle performs linear SHM. At a particular instant, the velocity of the particle is

u

and acceleration is

α

(both having the same direction). At another instant velocity is

v

and acceleration is

β (0 < α < β)

(both in opposite direction to each other).The distance between the two positions is

EASY

Physics>Mechanics>Laws of Motion>Spring Force

A particle is executing a simple harmonic motion. Its maximum acceleration is

α

and maximum velocity is

β

. Then, its time period of vibration will be:

MEDIUM

Physics>Mechanics>Laws of Motion>Spring Force

Two light identical springs of spring constant

k

are attached horizontally at the two ends of a uniform horizontal rod

A B

of length

l

and mass

m .

The rod is pivoted at its center 'O' and can rotate freely in horizontal plane. The other ends of the two springs are fixed to rigid supports as shown in figure. The rod is gently pushed through a small angle and released. The frequency of resulting oscillation is:
Question Image

HARD

Physics>Mechanics>Laws of Motion>Spring Force

For a simple pendulum, a graph is plotted between its kinetic energy (K.E.) and potential energy (P.E.) against its displacement d. which one of the following represents these correctly? (graphs are schematic and not drawn to scale)

A block of mass m is attached to three identical springs A, B and C each of force constant k as shown in figure. If the block is moved down a bit against the spring A and then released, the time period of oscillations will be

Important Questions on Laws of Motion

Learn and Prepare for any exam you want !

A block of mass $m$ is attached to three identical springs A, B and C each of force constant $k$ as shown in figure. If the block is moved down a bit against the spring $A$ and then released, the time period of oscillations will be