System of Parti...

A body of mass 5 kg undergoes a change in speed from 30 to 40 m/s. Its momentum would increase by :

The moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through one end is $$I$$. The same rod is bent into a ring and its moment of inertia about the diameter is $${I}_{1}$$. The ratio $$\dfrac{I}{{I}_{1}}$$ is

A large number of particles are placed around the origin, each at a distance R from the origin. The distance of the centre of mass of the system from the origin is:

A body of mass $${ m }_{ 1 }=4 \ kg$$ moves at $$5i \ m/s$$ and another body of mass $${ m }_{ 2 }=2 \ kg$$ moves at $$10 i\ m/ s$$. The kinetic energy of centre of mass is

The ratio of angular speeds of minute hand and hour hand of a watch is.

The moment of inertia of a solid sphere about an axis passing through centre of gravity is $$\dfrac {2}{5}MR^{2}$$, then its radius of gyration about a parallel axis at a distance $$2R$$ from first axis is

The radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm. Then, its radius of gyration about a parallel axis through its centre of mass will be :

A body of mass $$1\ kg$$ is thrown with a velocity of $$\displaystyle 10{ ms }^{ -1 }$$ at an angle of $$\displaystyle { 60 }^{ \circ  }$$ with the horizontal. Its momentum at the highest point is:

What torque will increase angular velocity of a solid disc of mass $$16kg$$ and diameter $$1m$$ from zero to $$2$$rpm in $$8s$$?