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Which type of reinforcement schedule is known to produce the highest rate of response?

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Important Questions on Oscillations

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

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

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A particle of mass

m

is moving along the

x - a x i s

under the potential

V (x) = \frac{k x^{2}}{2} + \frac{λ}{x^{'}}

where

k

and

x^{'}

are positive constants of appropriate dimensions. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency

(ω)

given by

HARD

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two masses

m

and

\frac{m}{2}

are connected at the two ends of a massless rigid rod of length

l .

The rod is suspended by a thin wire of torsional constant

k

at the centre of mass of the rod-mass system (see figure). Because of torsional constant

k,

the restoring torque is

τ = k θ

for angular displacement

θ .

If the rod is rotated by

θ_{0}

and released, the tension in it when it passes through its mean position will be:
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EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

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)

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

On a smooth plane surface (figure) two block

A

and

B

are accelerated rightwards by applying a force

15 N

A

. If mass of

B

is twice that of

A

, the force on

B

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Consider the system, as shown in the figure. The pulley and the string are light, and all the surfaces are frictionless. The tension in the string is $(g = 10 m s^{- 2})$

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EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two bodies of $5 kg$ and $4 kg$ are tied to a string as shown in the figure. If the table and the pulley both are smooth, then the acceleration of $5 kg$ body will be equal to

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MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A body of mass

10 k g

is acted upon by two perpendicular forces,

6 N

and

8 N

. The resultant acceleration of the body is:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

As shown in the figure, if a force

F

of magnitude

600 N

is applied to

20 k g

block, the tension in the string connecting

10 kg

and

20 kg

blocks is

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two masses

8 kg

and

12 kg

are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses and the tension in the string when the masses are released.

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Statement-1: A light cart rolls without friction down an wedge which is kept on a horizontal smooth surface. A simple pendulum is fastened on the cart. At the time of releasing cart from rest thread of simple pendulum was perpendicular to the incline. If release from rest then string will make an angle with line perpendicular to incline.

Statement-2: The angle made by string will be independent of whether wedge is accelerating or not.

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EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

In the given figure, what is the reading of the spring balance?

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EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

As shown in the following mass pulley system, pulleys and strings are massless. One end of the string is pulled by force $F = 2 m g$ . The acceleration of the block will be

Question Image

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two masses of $5 kg$ and $10 kg$ are connected to a pulley as shown in the figure. What will be the acceleration if the pulley is set free? ( $g =$ acceleration due to gravity) (Assume that the pulley is an ideal and ideal string as well)

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MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A block of mass

5

kg

is suspended by a massless rope of length

2

m

from the ceiling. A force of

50

N

is applied in the horizontal direction at the midpoint

P

of the rope, as shown in the figure. The angle made by the rope with the vertical in equilibrium is: (Take

g = 10 m s^{- 2}

)

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two bodies of masses

10 k g

and

20 k g

respectively kept on a smooth, horizontal surface are tied to the ends of a light string. A horizontal force

F = 600 N

is applied to A in first case and to B in second case along the direction of string. What is the tension in the string in each case?

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A monkey of mass

20 kg

is holding a vertical rope. The rope will not break when a mass of

25 kg

is suspended from it but will break if the mass exceeds

25 kg

. What is the maximum acceleration with which the monkey can climb up along the rope?

(g = 10 m s^{- 2})

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A block of mass

m

is resting on a smooth horizontal surface. One end of a uniform rope of mass

\frac{m}{3}

is fixed to the block, which is pulled in the horizontal direction by applying force

F

at the other end. The tension in the middle of the rope is

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

In the given arrangement, mass of the block is $M$ and the surface on which the block is placed is smooth. Assuming all pulleys to be massless and frictionless, strings to be inelastic and light, $R_{1}, R_{2}$ and $R_{3}$ to be light supporting rods, then, find the magnitude of the net force exerted by the pulley on the rod $R_{1}$ .

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Which type of reinforcement schedule is known to produce the highest rate of response?

Important Questions on Oscillations

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