Physics · 2020
JEE Main · 6 September 2020, Shift 2 · Q10
When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by y( t )=y_0 sin^2 ω t, where…
When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by $\displaystyle y(\mathrm{t})=y_0 \sin ^2 \omega \mathrm{t}$, where ' $\displaystyle y$ ' is measured from the lower end of unstretched spring. Then $\displaystyle \omega$ is :
Official answer
(3)
$\displaystyle \sqrt{\frac{g}{2 y_0}}$
More from Simple Harmonic Motion
- For particle P revolving round the centre O with radius of circular path r and angular velocity ω, as shown in below figure, the projection of OP on…2023
- Two identical springs of spring constant ' 2 k ' are attached to a block of mass m and to fixed support (see figure). When the mass is displaced from…2021
- A simple pendulum doing small oscillations at a place R height above earth surface has time period of T_1=4 s. T_2 would be it's time period if it is…2024
- In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to…2021
- For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal?2021
- A piece of wood has dimensions ℓ, b and h. Its relative density is ' d '. It is floating in water such that the side ' h ' is vertical. If it is…2021
- A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency f_1. The frequency of oscillations if a mass 9 m is…2024
- A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of amplitude 10 cm. The maximum tension in the string is found to be…2023
JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.