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A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad s^−1. The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?
27
Nov
A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad s^−1. The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis? find its moment of inertia [...]
Torques of equal magnitude are applied to hollow cylinder and a solid sphere, both having the same mass and same radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. which of the two will acquire a greater angular speed after a given time ?
27
Nov
Torques of equal magnitude are applied to hollow cylinder and a solid sphere, both having the same mass and same radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. which of the two will acquire a greater [...]
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Chapter 6 - System of Particles and Rotational Motion
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and the sphere is free to rotate about an axis passing through its centre. which of the two will acquire a greater angular speed after a given time ? ,
both having the same mass and same radius. The cylinder is free to rotate about its standard axis of symmetry ,
Torques of equal magnitude are applied to hollow cylinder and a solid sphere ,
Consider the situation as shown in figure a smooth inclined plane field in a car accelerating on a horizontal road. If the sphere is set in pure rolling on the incline
27
Nov
Consider the situation as shown in figure a smooth inclined plane field in a car accelerating on a horizontal road. If the sphere is set in pure rolling on the incline Consider the situation as shown in figure a smooth inclined plane field in a car accelerating on a horizontal road. If the sphere is [...]
A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown. Relative to its initial position with respect to the table, the ball a) remains stationary if there is no friction between the paper and the ball. b) moves to the left and starts rolling backwards, i.e. to the left if there is a friction between the paper and the ball. c) moves forward, i.e. in the direction in which the paper is pulled. Here, the correct statement/s is /are……….
27
Nov
A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown. Relative to its initial position with respect to the table, the ball a) remains stationary if there is no friction between the paper and the ball. b) moves to the left [...]
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A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown. Relative to its initial position with respect to the table ,
i.e. in the direction in which the paper is pulled. Here ,
i.e. to the left if there is a friction between the paper and the ball. c) moves forward ,
the ball a) remains stationary if there is no friction between the paper and the ball. b) moves to the left and starts rolling backwards ,
the correct statement/s is /are.......... ,
The motion of a sphere moving on a rough horizontal surface changes from pure sliding (without rolling) to pure rolling (without slipping). In this process, the force of friction (i) initially acts opposite to the direction of motion and late in the direction of motion (ii) cause linear retardation (iii) causes angular acceleration (iv) stops acting when pure rolling begins
27
Nov
The motion of a sphere moving on a rough horizontal surface changes from pure sliding (without rolling) to pure rolling (without slipping). In this process, the force of friction (i) initially acts opposite to the direction of motion and late in the direction of motion (ii) cause linear retardation (iii) causes angular acceleration (iv) stops [...]
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A solid sphere a hollow sphere and a disc ,
same mass and radius are placed at the top of an incline and released. Least time will be taken in reaching the bottom by ,
The motion of a sphere moving on a rough horizontal surface changes from pure sliding (without rolling) to pure rolling (without slipping). In this process ,
A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination θ. The coefficient of friction between the cylinder and incline is μ. Then:
27
Nov
A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination θ. The coefficient of friction between the cylinder and incline is μ. Then: A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination θ. The coefficient of friction between [...]
A solid cylinder is rolling down on an inclined plane of angle θ. The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling
27
Nov
A solid cylinder is rolling down on an inclined plane of angle θ. The minimum value of the coefficient of friction between the plane and the cylinder to allow pure rolling A solid cylinder is rolling down on an inclined plane of angle θ. The minimum value of the coefficient of friction between the plane [...]
A ball moves over a fixed track as shown in the figure. From A to B ball rolls without slipping. Surface BC is frictionless. KA,KB and KC are kinetic energies of the ball at A,B and C, respectively. Then
27
Nov
A ball moves over a fixed track as shown in the figure. From A to B ball rolls without slipping. Surface BC is frictionless. KA,KB and KC are kinetic energies of the ball at A,B and C, respectively. Then A ball moves over a fixed track as shown in the figure. From A to B [...]
Given, moment of inertia of a disc of mass M and radius R about any of its diameters = mR^2/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
27
Nov
Given, moment of inertia of a disc of mass M and radius R about any of its diameters = mR^2/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge. find its moment of inertia about an axis normal to the disc and passing through [...]
Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2/5, where M is the mass of the sphere and R is the radius of the sphere.
27
Nov
Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2/5, where M is the mass of the sphere and R is the radius of the sphere. Find the moment of inertia of a sphere about [...]