In the adjacent figure, if the incline plane is smooth and the springs are identical, then the period of oscillation of this body is
$2 \pi \sqrt{\frac{M}{2 k}}$
$2 \pi \sqrt{\frac{2 M}{k}}$
$2 \pi \sqrt{\frac{M}{k \sin \theta}}$
$2 \pi \sqrt{\frac{M \sin \theta}{k}}$
A block of mass $m$ attached to massless spring is performing oscillatory motion of amplitude $'A'$ on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the amplitude of oscillation for the remaining system become $fA.$ The value of $f$ is
When a mass $m$ is hung from the lower end of a spring of neglibgible mass, an extension $x$ is produced in the spring. The time period of oscillation is
Which type of spring have fast oscillation ? Stiff or soft.
A mass $m = 8\,kg$ is attahced to a spring as shown in figure and held in position so that the spring remains unstretched. The spring constant is $200\,N/m$. The mass $m$ is then released and begins to undergo small oscillations. The maximum velocity of the mass will be ..... $m/s$ $(g = 10\,m/s^2)$
A block of mass $m$ is suspended separately by two different springs have time period $t_1$ and $t_2$ . If same mass is connected to parallel combination of both springs, then its time period will be