Physics-
General
Easy

Question

The linear velocity of a particle moving with angular velocity stack omega with rightwards arrow on top=2 stack k with hat on top at position vector stack r with rightwards arrow on top=2 stack i with hat on top+2 stack j with hat on top is -

  1. 4(stack i with hat on topstack j with hat on top)  
  2. 4(stack j with hat on topstack i with hat on top)  
  3. 4stack i with hat on top  
  4. – 4stack i with hat on top  

The correct answer is: 4(stack j with hat on topstack i with hat on top)

Related Questions to study

General
Physics-

A circular platform is mounted on a vertical frictionless axle. Its radius is r = 2m and its moment of inertia is I = 200 kg - m2. It is initially at rest. A 70 kg man stands on the edge of the platform and begins to walk along the edge at speed v0 = 1.0 m/s relative to the ground. The angular velocity of the platform is -

A circular platform is mounted on a vertical frictionless axle. Its radius is r = 2m and its moment of inertia is I = 200 kg - m2. It is initially at rest. A 70 kg man stands on the edge of the platform and begins to walk along the edge at speed v0 = 1.0 m/s relative to the ground. The angular velocity of the platform is -

Physics-General
General
Physics-

A particle of mass 1 kg is moving along the line y = x + 2 (here x and y are in metres) with speed 2 m/s. The magnitude of angular momentum of particle about origin is -

A particle of mass 1 kg is moving along the line y = x + 2 (here x and y are in metres) with speed 2 m/s. The magnitude of angular momentum of particle about origin is -

Physics-General
General
Physics-

A disc is rotating with an angular velocity 0. A constant retarding torque is applied on it to stop the disc. The angular velocity becomes fraction numerator omega subscript 0 end subscript over denominator 2 end fraction after n rotations. How many more rotations will it make before coming to rest ?

A disc is rotating with an angular velocity 0. A constant retarding torque is applied on it to stop the disc. The angular velocity becomes fraction numerator omega subscript 0 end subscript over denominator 2 end fraction after n rotations. How many more rotations will it make before coming to rest ?

Physics-General
parallel
General
Physics-

Two rings of same radius (r) and mass (m) are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to plane of one of the ring is -

Two rings of same radius (r) and mass (m) are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to plane of one of the ring is -

Physics-General
General
Physics-

Four particles of mass m1 = 2m, m2 = 4m, m3 = m and m4 are placed at four corners of a square. What should be the value of m4 so that the centre of mass of all the four particles are exactly at the centre of the square ?

Four particles of mass m1 = 2m, m2 = 4m, m3 = m and m4 are placed at four corners of a square. What should be the value of m4 so that the centre of mass of all the four particles are exactly at the centre of the square ?
Physics-General

General
Physics-

A ring of mass 100 kg and diameter 2m is rotating at the rate of open parentheses fraction numerator 300 over denominator pi end fraction close parenthesesrpm. Then-

A ring of mass 100 kg and diameter 2m is rotating at the rate of open parentheses fraction numerator 300 over denominator pi end fraction close parenthesesrpm. Then-

Physics-General
parallel
General
Physics-

For particle of a purely rotating body, v = r, so correct relation will be -

For particle of a purely rotating body, v = r, so correct relation will be -

Physics-General
General
Physics-

In the figure given below, the end B of the rod AB which makes angle  with the floor is pulled with a constant velocity v0 as shown. The length of rod is . At an instant when = 37º

In the figure given below, the end B of the rod AB which makes angle  with the floor is pulled with a constant velocity v0 as shown. The length of rod is . At an instant when = 37º
Physics-General

General
Physics-

Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. If AB = BC, then ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is –

Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. If AB = BC, then ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is –
Physics-General

parallel
General
Physics-

The speed of wave traveling on the uniform circular ring, which is rotating about an axis passing through its center and perpendicular to its plane with tangential speed v in gravity free space is -

The speed of wave traveling on the uniform circular ring, which is rotating about an axis passing through its center and perpendicular to its plane with tangential speed v in gravity free space is -

Physics-General
General
Physics-

At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact but this axis is translating forward with a speed -

At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact but this axis is translating forward with a speed -

Physics-General
General
Physics-

A L shaped rod whose one rod is horizontal and other is vertical is rotating about a vertical axis as shown with angular speed . The sleeve shown in figure has mass m and friction coefficient between rod and sleeve is . The minimum angular speed  for which sleeve cannot sleep on rod is –

A L shaped rod whose one rod is horizontal and other is vertical is rotating about a vertical axis as shown with angular speed . The sleeve shown in figure has mass m and friction coefficient between rod and sleeve is . The minimum angular speed  for which sleeve cannot sleep on rod is –
Physics-General

parallel
General
Physics-

Figure shows a smooth inclined plane of inclination  fixed in a car. A sphere is set in pure rolling on the incline. For what value of 'a' (the acceleration of car in horizontal direction) the sphere will continue pure rolling ?

Figure shows a smooth inclined plane of inclination  fixed in a car. A sphere is set in pure rolling on the incline. For what value of 'a' (the acceleration of car in horizontal direction) the sphere will continue pure rolling ?
Physics-General

General
Physics-

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in figure. At any instant, for the lower most point of the disc.

A disc is performing pure rolling on a smooth stationary surface with constant angular velocity as shown in figure. At any instant, for the lower most point of the disc.
Physics-General

General
Physics-

When a wheel of radius R moves a distance smaller than 2R making one rotation then -

When a wheel of radius R moves a distance smaller than 2R making one rotation then -

Physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.