A uniform rod of mass m and length l which can rotate freely in vertical plane without friction
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A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity ω = 2 rad/s about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold
29
Sep
A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with angular velocity ω = 2 rad/s about an axis passing through its centre. The work should be performed to increase the angular velocity of rotation of the ball two fold A rigid body is made of [...]
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A rigid body is made of three identical thin rods ,
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its centre and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body, initially at the same level as the centre, the angular velocity when the small body reaches the lowest point of the disk is.
29
Sep
A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its centre and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body, initially at the same level as the centre, the angular [...]
Tags:
A rigid body is made of three identical thin rods ,
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A uniform rod of mass m and length l is kept vertical with the lower end clamped. It is slightly pushed to let it fall down under gravity. Find its angular speed when the rod is passing through its lowest position. Neglect any friction at the clamp. What will be the linear speed of the free end at this instant?
29
Sep
A uniform rod of mass m and length l is kept vertical with the lower end clamped. It is slightly pushed to let it fall down under gravity. Find its angular speed when the rod is passing through its lowest position. Neglect any friction at the clamp. What will be the linear speed of the [...]
Tags:
A rigid body is made of three identical thin rods ,
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical?
29
Sep
A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a [...]
Tags:
A rigid body is made of three identical thin rods ,
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius R and is attached to a small object of mass m that is otherwise free to fall under the influence of gravity. There is no friction of pulley’s axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h from rest? Use work-energy considerations.
29
Sep
A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius R and is attached to a small object of mass m that is otherwise free to fall under [...]
Tags:
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction ,
A uniform spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell ,
is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod. ,
A spool (consider it as a double disc system joined by a short tube at their centre) is placed on a horizontal surface as shown Fig. A light string wound several times over the short connecting tube leaves it tangentially and passes over a light pulley. A weight of mass m is attached to the end of the string. The radius of the connecting tube is r and mass of the spool is M and radius is R. Find the acceleration of the falling mass m. Neglect the mass of the connecting tube and slipping of the spool.
28
Sep
A spool (consider it as a double disc system joined by a short tube at their centre) is placed on a horizontal surface as shown Fig. A light string wound several times over the short connecting tube leaves it tangentially and passes over a light pulley. A weight of mass m is attached to the [...]
A load of mass m is attached to the end of a string wound on a cylinder of mass M and radius R. The string passes round a pulley. a. Find the acceleration of the cylinder M when it rolls. b. If the coefficient of friction is μ. Find the accelerative of the cylinder when it slips and rolls. c. Find the minimum value of coefficient of friction for which the cylinder rolls always
28
Sep
A load of mass m is attached to the end of a string wound on a cylinder of mass M and radius R. The string passes round a pulley. a. Find the acceleration of the cylinder M when it rolls. b. If the coefficient of friction is μ. Find the accelerative of the cylinder when [...]
A cylinder of mass at and radius R rolls on a stationary plank of mass M. The lower surface of the plank is smooth and the upper surface is sufficiently rough with a coefficient of friction μ. A man is to hold the plank stationary with respect to the ground, as shown Fig. Find The force exerted by the man to keep the plank stationary is equal to
28
Sep
A cylinder of mass at and radius R rolls on a stationary plank of mass M. The lower surface of the plank is smooth and the upper surface is sufficiently rough with a coefficient of friction μ. A man is to hold the plank stationary with respect to the ground, as shown Fig. Find The [...]
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction , is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at the upper end of the rod.
28
Sep
A uniform rod of mass m and length l which can rotate freely in vertical plane without friction , is hinged at its lower end on a tablev . A sphere of mass m and radius R = l/3 is placed in contact with the vertical rod annd a horizontal force F is applied at [...]