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An inclined plane makes an angle 30 with the horizontal. A groove (OA) of length 5 m cut in the plane makes an angle 30 with OX. A short smooth cylinder is free to slide down under the
29
Sep
An inclined plane makes an angle 30 with the horizontal. A groove (OA) of length 5 m cut in the plane makes an angle 30 with OX. A short smooth cylinder is free to slide down under the An inclined plane makes an angle 30 with the horizontal. A groove (OA) of length 5 m [...]
A bead of mass m is attached to one end of a spring of natural length R and spring constant K = (root 3 + 1) mg / R. The other end of the spring is fixed at a point A on a smooth vertical
29
Sep
A bead of mass m is attached to one end of a spring of natural length R and spring constant K = (root 3 + 1) mg / R. The other end of the spring is fixed at a point A on a smooth vertical A bead of mass m is attached to one end [...]
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 [...]
Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to the block of mass M as shown in Fig. 6.300. The magnitude of force P is
29
Sep
Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to the block of mass M as shown in Fig. 6.300. The magnitude of force P is Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect [...]
A sphere of mass M and radius R is moving on a rough fixed surface, having coefficient of friction μ as shown in the figure above. It will attain a minimum linear velocity after time : (v 0 > ω 0 R)
29
Sep
A sphere of mass M and radius R is moving on a rough fixed surface, having coefficient of friction μ as shown in the figure above. It will attain a minimum linear velocity after time : (v 0 > ω 0 R) A sphere of mass M and radius R is moving on a rough [...]
A trolley T of mass 5 kg on a horizontal smooth surface is pulled by a load of 2 kg through a uniform rope ABC of length 2 m and mass 1 kg. As the load falls from BC = 0 to BC = 2 m,
29
Sep
A trolley T of mass 5 kg on a horizontal smooth surface is pulled by a load of 2 kg through a uniform rope ABC of length 2 m and mass 1 kg. As the load falls from BC = 0 to BC = 2 m, A trolley T of mass 5 kg on 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 [...]
A object of mass M and radius R is performing pure rolling motion on a smooth horizontal surface under the action of a constant force F as shown in figure. The object may be
29
Sep
A object of mass M and radius R is performing pure rolling motion on a smooth horizontal surface under the action of a constant force F as shown in figure. The object may be A object of mass M and radius R is performing pure rolling motion on a smooth horizontal surface under the action [...]
A balloon of mass M is descending at a constant acceleration alpha. When a mass m is released from the balloon, it starts rising with the same acceleration alpha. Assuming that its volume
29
Sep
A balloon of mass M is descending at a constant acceleration alpha. When a mass m is released from the balloon, it starts rising with the same acceleration alpha. Assuming that its volume A balloon of mass M is descending at a constant acceleration alpha. When a mass m is released from the balloon it [...]