Angular momentum of the particle rotating with a central force is constant due to

A round uniform body of radius *R*, mass *M* and moment of inertia *I* rolls down (without slipping) an inclined plane making an anglewith the horizontal. Then what will be its acceleration?

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is from the centre of the bigger disc. What is the value of ?

Four point masses, each of value *m*, are placed at the corners of a square *ABCD* of side *l*. What will be the moment of inertia of this system about an axis through *A* and parallel to *BD? *

A thin circular ring of mass *m* and radius *R* is rotating about its axis with a constant angular velocity Two objects each of mass *M* are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity

A force ofacts on *O*, the origin of the coordinate system. What is the torque about the point (1, –1)?

Consider a two-particle system with particles having masses m_{1} and m_{2}. If the first particle is pushed towards the centre of mass through a distance *d*, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

A *T* shaped object with dimensions shown in the figure is lying on a smooth floor. A force *F* is applied at the point *P *parallel to *AB*, such that the object has only the translational motion without rotation. What is the location of *P* with respect to *C? *

A thin rod of length *L* is lying along the *x*-axis with its ends at *x* = 0 and *x* = *L*. Its linear density (mass/length) varies with *x* as *k*(*x*/L)^{n} where *n* can be zero or any positive number. If the position *x*_{CM} of the centre of mass of the rod is plotted against *n*, which of the following graphs best approximates the dependence of *x*_{CM} on *n*?

Consider a uniform square plate of side *a* and mass *m*. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is:

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass the same which one of the following will not be affected?

Letbe the force acting on a particle having position vector andbe the torque of this force about the origin. Then

A particle performing uniform circular motion has angular momentum *L*. If its angular frequency is doubled and its kinetic energy halved, then what would be the new angular momentum?

A circular disc *X* of radius *R* is made from an iron plate of thickness *t*, and another disc *Y* of radius 4*R* is made from an iron plate of thickness *t/*4. Then what is the relation between the moment of inertia I_{x} and I_{y}?

A particle of mass *m* moves along line *PC* with the velocity *v* as shown in the below image.

What should be the angular momentum of the particle about *P*?

What is the moment of inertia of a circular wire of mass *M* and radius *R* about its diameter?

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then what is the maximum acceleration down the plane is for (no rolling)?

Initial angular velocity of a circular disc of mass *M* is . Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

Initial angular velocity of a circular disc of mass *M* is . Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

What is the velocity of centre of mass if two identical particles move towards each other with velocity 2*v* and *v* respectively?

If an electron and a proton having same momenta enter perpendicularly to a magnetic field, then :

Why do we talk in our steep? Why we see unknown faces in the dream.

Why do we talk in our steep? Why we see unknown faces in the dream.

What are paracetamol and steroidal drugs and how a mystery and much work has to be done to join the links do they work?

What is PRIONS

What is VIROIDS

Explain the Lytic cycle of VIRUS.

Explain How Viruses are Intermediate between Living and Non-Living things.

Explain the Types Of VIRUS.

Explain The Virus Components

Explain The Structure of Virus.

Explain The Structure of Virus.

What is VIRUS.

The upper half of an inclined plane with inclination perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by

A smooth block is released at rest on a 45° incline and then slides a distance *d*. The time taken to slide is *n* times as much to slide on a rough incline than on a smooth incline. What is the coefficient of friction?

An annular ring with inner and outer radii R_{1} and R_{2} are rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, F_{1} /F_{2} is

A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, then what is the mass of the block (in kg)? [take g = 10 m/s^{2}]

Two masses m_{1} = 5 kg and m_{2} = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move? [g = 9.8 m/s^{2}]

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A machine gun fires a bullet of mass 40 g with a velocity 1200 m/s^{-1}. The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most?

A rocket with a lift-off mass 3.5 × 10^{4} kg is blasted upwards with an initial acceleration of 10 m/s^{2}. Then what is the initial thrust of the blast?

A light spring balance hangs from the hook of the other light spring balance and a block of mass *M* kg hangs from the former one. Then the true statement about the scale reading is

A block of mass *M* is pulled along a horizontal frictionless surface by a rope of mass *m*. If a force *P* is applied at the free end of the rope, then what is the force exerted by the rope on the block?

A marble block of mass 2 kg lying on ice stopped by friction in 10 s when given a velocity of 6 m/s. Then what is the coefficient of friction?

A horizontal force of 10 N is required to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2. What is the weight of the block?

A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves down with an acceleration of 5 m/s^{2}, what will be the reading of the spring balance?

Three forces start acting simultaneously on a particle moving with velocity . These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity

Three identical blocks of masses m 2 kg are drawn by a force *F = 10.2 N* with an acceleration of 0.6 ms –2 on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?

A light string passing over a smooth light pulley connects two blocks of masses m1 and m2 (vertically). If the acceleration of the system is g/8, then what is the ratio of the masses?

One end of a massless rope passes over a massless and frictionless pulley P, which is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 960 N. With what value of maximum safe acceleration can a man of 60 kg climb on the rope?