Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

Please solve this question
question image
Asked by suchananag2002 | 14 Feb, 2020, 20:45: PM
answered-by-expert Expert Answer
If the mass m is displaced by -Δy, then lower side springs are compressed and upper side springs are stretched.
 
Compressed length Δy2 = -(1/2)Δy and Streched length Δy1 = -(1/√2) Δy ( see the figure )
 
 Restoring forces acting on mass m is shown in figure .
 
If we resolve each forces into horizontal and vertical components, horizontal components cancel with each other as can be seen from figure.
 
Vertical componenets of resolved forces give net resultant force as given below
 
F = 2F1 sin45 + 2 F2 sin30 = - 2 k [ (1/√2) Δy ] (1/√2)   - 2 (2k) ( Δy/2 )( 1/2 ) = -2k Δy
 
acceleration = (-2k/m) Δy
 
angular speed , ω = 2π/T = ( 2k/m )1/2
 
where T is period of oscillation,  begin mathsize 14px style T space equals space pi square root of fraction numerator 2 space m over denominator k end fraction end root end style
Answered by Thiyagarajan K | 15 Feb, 2020, 08:24: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Physics
What is circular motion
Asked by jwjwwj | 16 Jan, 2025, 13:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
what is difference between drift and jerk
Asked by mishradarshan03 | 22 Dec, 2024, 11:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
a marble block of mass 2 kg lying on ice when a given velocity of 6 ms–1 is stopped by friction in 10 seconds then co efficient of friction is
Asked by sumalathamadarapu9 | 23 Oct, 2024, 22:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
show that the frequency of oscillations remain unchanged whether a mass attached to a spring is made to oscillate in the vertical or in the horizontal direction
Asked by py309649 | 13 Oct, 2024, 13:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Square of the time period of revolution of a planet is proportional to the cube of the mean distance between sun and planet. If mean distance is increased by 2% then percentage change in its time period is
Asked by coolskrish | 13 Oct, 2024, 12:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
two particles of mass m and 4m are initially actress the sad moving towards each other due to mutual gravitational force at an instantly of m is vî then at this instant the velocity of mass 4m is
Asked by midnightmoon3355 | 09 Oct, 2024, 09:09: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
what is the second law of thermodynamics
Asked by rambabunaidu4455 | 03 Oct, 2024, 16:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
what is the relation between drift velocity and mobility
Asked by ratchanavalli07 | 17 Sep, 2024, 07:46: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
A ball of mass m approaches a moving wall of infinite mass with speed v along the normal to the wall. The speed of the ball is u towards the ball. The speed of the ball after elastic collision with the wall is
Asked by yayashvadutta45 | 15 Sep, 2024, 19:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
a current of 2a is flowing through a conductor of length 22m bent in arc radius 5cm
Asked by adithireddy999 | 03 Sep, 2024, 09:35: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt