For the system shown in the figure,if $M_1 = 10 \ kg$,$M_2 = 5 \ kg$,$\theta = 30^\circ$,and $g = 10 \ m/s^2$,find the tension in the string in $N$.

$A$ block of mass $M$ is at rest on a plane surface inclined at an angle $\theta$ to the horizontal. The magnitude of the force exerted by the plane on the block is

The acceleration of the system of two bodies over the wedge as shown in the figure is ....... $m/s^2$. (Take $g = 10 \ m/s^2$)

What is the minimum value of $F$ needed so that the block of mass $M$ begins to move upward on a frictionless inclined plane as shown?

$A$ body of mass $5 \ kg$ is suspended by a spring balance on an inclined plane as shown in the figure. The spring balance measures (in $N$):

$A$ body is slipping from an inclined plane of height $h$ and length $l$. If the angle of inclination is $\theta$,the time taken by the body to come from the top to the bottom of this inclined plane is