Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions)
Figure given shows a smooth inclined plane fixed in a car accelerating on horizontal road. The angle of incline θ is related to the acceleration a of the car as a = g tanθ. If the sphere is set in pure rolling on the incline.
29
Sep
Figure given shows a smooth inclined plane fixed in a car accelerating on horizontal road. The angle of incline θ is related to the acceleration a of the car as a = g tanθ. If the sphere is set in pure rolling on the incline. A uniform disc of mass m is fitted (pivoted smoothly) [...]
A cylinder of mass m is rotating about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then
29
Sep
A cylinder of mass m is rotating about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then A cylinder of mass m is rotating about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then September [...]
The steel balls A and B have a mass of 500 g each and are rotating about the vertical axis with an angular velocity of 4 rad/s at a distance of 15 CM from the axis. Collar C is now forced down until the balls are at a distance 5 CM from the axis. How Much work must be done move the collar down?
29
Sep
The steel balls A and B have a mass of 500 g each and are rotating about the vertical axis with an angular velocity of 4 rad/s at a distance of 15 CM from the axis. Collar C is now forced down until the balls are at a distance 5 CM from the axis. How [...]
A uniform disc of mass m is fitted (pivoted smoothly) with a rod of mass m/2. If the bottom of the rod os pulled with a velocity v, it moves without changing its and of orientation and the disc rolls without sliding. Find the kinetic energy of the system (rod + disc)
29
Sep
A uniform disc of mass m is fitted (pivoted smoothly) with a rod of mass m/2. If the bottom of the rod os pulled with a velocity v, it moves without changing its and of orientation and the disc rolls without sliding. Find the kinetic energy of the system (rod + disc) A uniform disc [...]
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 [...]
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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 uniform of length l is released from rest such that it rotates about a smooth pivot. Find the angular speed of the rod when it becomes vertical.
29
Sep
A uniform of length l is released from rest such that it rotates about a smooth pivot. Find the angular speed of the rod when it becomes vertical. A uniform of length l is released from rest such that it rotates about a smooth pivot. Find the angular speed of the rod when it becomes [...]
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 [...]
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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. ,