CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Frequency to Angular Frequency

A block of ma...

Question

A block of mass \(M\) is attached with tow springs as shown and oscillates. Surface is smooth. If the maximum velocity of blcok is \(v_0\) durign the motion, then amplitude of oscillation is

A

\frac{2 v_{0}}{3} \sqrt{\frac{M}{k}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

v_{0} \sqrt{\frac{2 M}{3 k}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

v_{0} \sqrt{\frac{M}{k}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

\frac{2 v_{0}}{3} \sqrt{\frac{M}{k}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $v_{0} \sqrt{\frac{M}{k}}$
$\frac{1}{2} M v_{0}^{2} = \frac{1}{2} (3 k) A^{2}$
$A = v_{0} \sqrt{\frac{M}{3 k}}$

Suggest Corrections

thumbs-up

6

Similar questions

Q. In the given figure, a mass

M

is attached to a horizontal spring, which is fixed on one side to a rigid support. The spring constant of the spring is

k

. The mass oscillates on a frictionless surface with time period

T

A

. When the mass is in equilibrium position, as shown in the figure, another mass

m

is gently fixed upon it then the new amplitude of oscillation will be :

Two springs with negligible masses and force constants

k_{1} = 200 N / m

k_{2} = 160 N / m

are attached to the block of mass

m = 10 k g

as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time

t = 0 s

, sharp impulse of

50 N s

is given to the block with a hammer along the spring.

Q. A block of mass

m

is attached rigidly to a spring of stiffness

k_{1}

& touches another spring of stiffness

k_{2}

as shown in the figure. Assuming the surface is smooth, the period of oscillation of the block is

Q. A block is attached to an ideal spring undergoes simple harmonic oscillations of amplitude A. Maximum speed of block is calculated at the end of the spring. If the block is replaced by one with twice the mass but the amplitude of its oscillations remains the same, then the maximum speed of the block will

Q. A block of mass

m

moving with velocity

v_{0}

on a smooth horizontal surface hits the spring of constant

K

as shown. The maximum compression in spring is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Expression for SHM

PHYSICS

Watch in App

explore_more_icon

Explore more

Frequency to Angular Frequency

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon