System of Parti...

A projectile of mass $$m$$ is thrown with velocity $$v$$ making an angle $$ 60^{\circ} $$ with the horizontal. Neglecting air resistance, the change in momentum from the departure A to its arrival at B, along the vertical direction is :

Four identical rods each of mass $$M$$ are joined to form as square frame, the moment of inertia of the system about one of the diagonals is 

Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An Impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :

How can be rule be brought in equilibrium by using an additional weight of $$40gf$$?

Two particles $$A$$ and $$B$$, initially at rest, moves towards each other under a mutual force of attraction. At the instant when the speed of $$A$$ is $$v$$ and the speed $$B$$ is $$2v$$, the speed of centre of mass is :

The radius of gyration of a disc of radius 25 cm about an axis passing through the center of the disc and perpendicular to the disc is approximately equal to:

A couple produces

A rigid spherical body is spinning around an axis without any external torque. Due to change in temperature, the volume increases by $$\mbox{1 %}$$. Its angular speed will

A projectile of mass $$m$$ is fired with velocity $$v$$ from a point as shown in figure, neglecting air resistance, what is the change in momentum when leaving $$P$$ and arriving at $$Q$$ ?

The figure represents two cases. In first case a block of mass $$M$$ is attached to a string which is lightly wound on a disc of mass $$M$$ and radius $$R$$. In second case $$F = Mg$$ Initially, the disc is stationary in each case. If the same length of string is unwound from the disc, then