In the situation as shown in figure time period of vertical oscillation of block for small displacements will be 

819-461

  • A

    $2\pi \cos \theta \sqrt {\frac{m}{{2k}}} $

  • B

    $2\pi \sec \theta \sqrt {\frac{m}{{2k}}} $

  • C

    $2\pi \sin \theta \sqrt {\frac{m}{{2k}}} $

  • D

    $2\pi \cos ec\theta \sqrt {\frac{m}{{2k}}} $

Similar Questions

Show that the oscillations due to a spring are simple harmonic oscillations and obtain the expression of periodic time.

A man weighing $60\, kg$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1\, m$ and frequency $\frac{2}{\pi }Hz$. Which of the following statement is correct

Four massless springs whose force constants are $2k, 2k, k$ and $2k$ respectively are attached to a mass $M$ kept on a frictionless plane (as shown in figure). If the mass $M$ is displaced in the horizontal direction, then the frequency of oscillation of the system is

A body of mass $m$ is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand, so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is $4\,cm$ below the point, where it was held in hand.

$(a)$ What is the amplitude of oscillation ?

$(b)$ Find the frequency of oscillation.

Let $T_1$ and $T_2$ be the time periods of two springs $A$ and $B$ when a mass $m$ is suspended from them separately. Now both the springs are connected in parallel  and same mass $m$ is suspended with them. Now let $T$ be the time period in this position. Then