Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 49

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A simple pendulum of mass $' m$ ', swings with maximum angular displacement of $60 °$ . When its angular displacement is $30 °$ , the tension in the string is

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Important Questions on Oscillations

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 50

If

P . E

. of a system is given by relation

U = \frac{A}{x^{2}} - \frac{B}{x}

, where

A

and

B

are positive constant, then the mean position of oscillation is

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 51

If displacement time equation of an

S . H . M

. is

x = \sin \frac{π t}{6}

, then the moments of times at which peak value of acceleration is attained are

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 52

In a

S . H . M

. with amplitude

' A'

, what is the ratio of

K . E

. and

P . E

. at

\frac{A}{2}

distance from the mean position?

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 53

A particle of mass

4 kg

moves along

x

axis, potential energy

(U)

varies with respect to

x

as

U = 20 + (x - 4)^{2}

, maximum speed of particle is at

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 55

A body of mass

8 kg

performs

SHM

of amplitude

60 cm

. The restoring force is

120 N

when the displacement is

60 cm

. Its acceleration,

P E

and

K E

when displacement is

6 cm

are

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 56

A particle is executing

SHM

with time period

T

. If time period of its total mechanical energy is

T^{'}

then

\frac{T^{'}}{T}

is

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 58

A spring of force constant

600 {Nm}^{- 1}

is mounted on a horizontal table. A mass of

1.5 kg

is attached to the free end of the spring, pulled sideways to a distance of

2 cm

and released

. P . E

. of the system when it momentarily comes to rest and total energy are respectively

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Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment Set-2>Q 59

A particle is oscillating under a force

\vec{F} = - k \vec{x} - b \vec{v}

where

a

and

b

are constants. It shows