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A uniform thin stick of mass M = 24 kg and length L rotates on a friction less horizontal plane, with its centre of mass stationary. A particle of mass m is placed on the plane at a distance x = L3 from the centre of the stick . This stick hits the particle elastically (a) Find the value of m so that after the collision, there is no rotational motion of the stick
02
Oct
A uniform thin stick of mass M = 24 kg and length L rotates on a friction less horizontal plane, with its centre of mass stationary. A particle of mass m is placed on the plane at a distance x = L3 from the centre of the stick . This stick hits the particle elastically [...]
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A rolling body of mass m = 4 k g ,
A uniform thin stick of mass M = 24 kg and length L rotates on a friction less horizontal plane ,
radius R and radius of gyration k = R / √ 3 is placed as a plank which moves with an acceleration a 0 = 1 m /s^2 . Find the frictional force acting on the body if it rolls without sliding(in N ). ,
A square plate of side length 2 m has a groove made in the shape of two quarter circles joining at the centre of the plate. The plate is free to rotate about vertical axis passing through its centre. The moment of inertia of the plate about this axis is 4 kg/m^2. A small block of mass 1 kg enters the groove at end A travelling with a velocity of 2/s parallel to the side of the square plate. The block move along the frictionless groove of the horizontal plate and comes out at the other end B with speed V. Find V assuming that width of the groove is negligible.
02
Oct
A square plate of side length 2 m has a groove made in the shape of two quarter circles joining at the centre of the plate. The plate is free to rotate about vertical axis passing through its centre. The moment of inertia of the plate about this axis is 4 kg/m^2. A small block [...]
A uniform disc of mass m = 1 kg and radius R = 20 cm lies flat on a smooth horizontal table. A mass less string runs halfway around it as shown ion fig. One end of the string is attached to a small block of mass m and the other end is being pulled with a force F = 20 N . The circumference of the disc is sufficiently rough so that the string does not slip over it. Find acceleration of the small block ( in m/s^2).
02
Oct
A uniform disc of mass m = 1 kg and radius R = 20 cm lies flat on a smooth horizontal table. A mass less string runs halfway around it as shown ion fig. One end of the string is attached to a small block of mass m and the other end is being pulled [...]
A ring of mass m and radius (R/4) rolls inside a fixed hoop of radius R such that at the highest point of its trajectory the normal reaction becomes zero. The friction on the hoop is sufficient to ensure pure rolling. Find The angular velocity of the ring in rad/s.
02
Oct
A ring of mass m and radius (R/4) rolls inside a fixed hoop of radius R such that at the highest point of its trajectory the normal reaction becomes zero. The friction on the hoop is sufficient to ensure pure rolling. Find The angular velocity of the ring in rad/s. A rolling body of mass [...]
A bob is attached to a string as shown in the figure below. At the lowest point, it is given a horizontal velocity u. The bob rotates complete circle in vertical plane. For different values of u, it can have different total
01
Oct
A bob is attached to a string as shown in the figure below. At the lowest point, it is given a horizontal velocity u. The bob rotates complete circle in vertical plane. For different values of u, it can have different total A bov is attached to a string as shown in the figure below. [...]
A particle of mass m1 moves in a circular path of radius R on a rotating table. A string connecting the particles m1 and m2 passes over a smooth hole made on the table as shown in Fig. 7.325. If mass m1 does not
01
Oct
A particle of mass m1 moves in a circular path of radius R on a rotating table. A string connecting the particles m1 and m2 passes over a smooth hole made on the table as shown in Fig. 7.325. If mass m1 does not A block is resting over a rough horizontal floor. At t [...]
A car moving along a circular track of radius 50.0 m, accelerates from rest at 3.00 m/s^2. Consider a situation when the car’s centripetal acceleration equals its tangential acceleration.
01
Oct
A car moving along a circular track of radius 50.0 m, accelerates from rest at 3.00 m/s^2. Consider a situation when the car’s centripetal acceleration equals its tangential acceleration. A car moving along a circular track of radius 50.0 m accelerates from rest at 3.00 m/s^2. Consider a situation when the car's centripetal acceleration equals [...]
A 10 kg block on top of a 40 kg block as shown in Fig. 7.324. A horizontal force F acting on B causes an acceleration of 2 m/s^2 to B. For this situation, mark out the correct statements.
01
Oct
A 10 kg block on top of a 40 kg block as shown in Fig. 7.324. A horizontal force F acting on B causes an acceleration of 2 m/s^2 to B. For this situation, mark out the correct statements. A 10 kg block on top of a 40 kg block as shown in Fig. 7.324. [...]
The coefficient of friction between the two blocks is 0.3. whereas the surface AB is smooth. a. Acceleration of the system of masses is 88/15 m/s^2. b. Net force acting on 3 kg mass
01
Oct
The coefficient of friction between the two blocks is 0.3. whereas the surface AB is smooth. a. Acceleration of the system of masses is 88/15 m/s^2. b. Net force acting on 3 kg mass The coefficient of friction between the two blocks is 0.3. whereas the surface AB is smooth. a. Acceleration of the system [...]
Two blocks A and B of masses 5 kg and 2 kg, respectively, connected by a spring of force constant = 100 N/m are placed on an inclined plane of inclination 30 as shown in Fig. 7.322.
01
Oct
Two blocks A and B of masses 5 kg and 2 kg, respectively, connected by a spring of force constant = 100 N/m are placed on an inclined plane of inclination 30 as shown in Fig. 7.322. connected by a spring of force constant = 100 N/m are placed on an inclined plane of inclination [...]