A Disc of mass m and radius R moves in the x-y plane as shown in figure. The angular momentum of the disc about the origin O at the instant shown is
Sahay Sir > Question Answers > A Disc of mass m and radius R moves in the x-y plane as shown in figure. The angular momentum of the disc about the origin O at the instant shown is
A solid sphere and a hollow sphere of equal mass and radius are placed over a rough horizontal surface after rotating it about its masss centre with same angular velocity ω 0 . Once the pure rolling starts let v 1and v 2 be the linear speeds of their centres of mass. Then
29
Sep
A solid sphere and a hollow sphere of equal mass and radius are placed over a rough horizontal surface after rotating it about its masss centre with same angular velocity ω 0 . Once the pure rolling starts let v 1and v 2 be the linear speeds of their centres of mass. Then A [...]
A uniform box of height 2 m and having a square base of side 1 m, weight 150 kg, is kept on one end on the floor of a truck. The maximum speed with which the truck can round a curve of radius 20 m without causing the block to tip over is (assume that friction is sufficient is no sliding).
29
Sep
A uniform box of height 2 m and having a square base of side 1 m, weight 150 kg, is kept on one end on the floor of a truck. The maximum speed with which the truck can round a curve of radius 20 m without causing the block to tip over is (assume that [...]
A solid cylinder is placed on the end of an inclined plane. It is found that the plane can be tipped at an angle θ before the cylinder starts to slide. When the cylinder turns on its sides and is allowed to roll, it is found that the steepest angle at which the cylinder performs pure rolling is ϕ. The ratio tanϕ/tanθ is
29
Sep
A solid cylinder is placed on the end of an inclined plane. It is found that the plane can be tipped at an angle θ before the cylinder starts to slide. When the cylinder turns on its sides and is allowed to roll, it is found that the steepest angle at which the cylinder performs [...]
The spool shown in the figure is placed on a rough horizontal surface and has inner radius r and outer radius R. The angle θ between the applied force and the horizontal can be varied. The critical angle θ for which the spool does not roll and remains stationary is given by
29
Sep
The spool shown in the figure is placed on a rough horizontal surface and has inner radius r and outer radius R. The angle θ between the applied force and the horizontal can be varied. The critical angle θ for which the spool does not roll and remains stationary is given by A Disc of [...]
A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v0 and angular velocity omega0 as shown. The disc comes to rest after moving some distance to the right . It follows that
29
Sep
A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v0 and angular velocity omega0 as shown. The disc comes to rest after moving some distance to the right . It follows that A Disc of mass m and radius R moves in the x-y plane [...]
A solid cylinder of mass M and radius R is resting on a horizontal platform (which is parallel to the x-y plane) with its axis fixed along Y-axis and free to rotate about its axis. The platform is given a motion in the X-direction given by x=Acos(ωt). There is no slipping between the cylinder and the platform. The maximum torque acting on the cylinder during its motion is:
29
Sep
A solid cylinder of mass M and radius R is resting on a horizontal platform (which is parallel to the x-y plane) with its axis fixed along Y-axis and free to rotate about its axis. The platform is given a motion in the X-direction given by x=Acos(ωt). There is no slipping between the cylinder and [...]
A cylinder of mass M and radius R is resting on a horizontal platform (which is parallel to the x-y plane) with its axis fixed along the y-axis and free to rotate about its axis. The platform is given a motion in the x-direction given by x=Acos(ωt). There is no slipping between the cylinder and platform. The maximum torque acting on the cylinder during its motion is ………………
29
Sep
A cylinder of mass M and radius R is resting on a horizontal platform (which is parallel to the x-y plane) with its axis fixed along the y-axis and free to rotate about its axis. The platform is given a motion in the x-direction given by x=Acos(ωt). There is no slipping between the cylinder and [...]
A slender rod of mass M and length L rests on a horizontal frictionless surface. The rod is pivoted about one of ends. The impulse of the force exerted on the rod by the pivot when the rod is struck by a blow of impulse J perpendicular to the rod at other end is
29
Sep
A slender rod of mass M and length L rests on a horizontal frictionless surface. The rod is pivoted about one of ends. The impulse of the force exerted on the rod by the pivot when the rod is struck by a blow of impulse J perpendicular to the rod at other end is A [...]
A ring of radius R is first rotated with an angular velocity ω and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is μ. Time after which its angular speed is reduced to half is
29
Sep
A ring of radius R is first rotated with an angular velocity ω and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is μ. Time after which its angular speed is reduced to half is A Disc of mass m and radius R moves in [...]
A uniform solid sphere of radius `r` is rolling on a smooth horizontal surface with velocity `V` and angular velocity `omega=(V=omegar)`. The sphere collides with a sharp edge on the wall as shown in Fig. The coefficient of friction between the sphere and the edge `mu = 1//5`. Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to
29
Sep
A uniform solid sphere of radius `r` is rolling on a smooth horizontal surface with velocity `V` and angular velocity `omega=(V=omegar)`. The sphere collides with a sharp edge on the wall as shown in Fig. The coefficient of friction between the sphere and the edge `mu = 1//5`. Just after the collision the angular velocity [...]