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 ).
Sahay Sir > Question Answers > 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 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 [...]
Tags:
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 [...]
Two small spheres of mass 1 kg each are connected to each other by means of an unstreached spring of force constant K = 100 N/m and natural length 2.4 m . The system is placed on a smooth horizontal surface and the two spheres are given velocities v0 as shown in the figure. The maximum elongation in the spring is found to be 0.4 m during the subsequent motion. calculate v0 in m/s . Take root 31 = 5.6
01
Oct
Two small spheres of mass 1 kg each are connected to each other by means of an unstreached spring of force constant K = 100 N/m and natural length 2.4 m . The system is placed on a smooth horizontal surface and the two spheres are given velocities v0 as shown in the figure. The [...]
A sphere of radius r and mass m has a linear velocity v0 m/s directed to the left and no angular velocity as it is placed on a horizontal platform moving to the right with a constant velocitry 10 m/s. If after sliding on the platform without sliding. The coefficient of kinetic friction between the sphere and the platform is muK . Determine the required value of v0 in m/s.
01
Oct
A sphere of radius r and mass m has a linear velocity v0 m/s directed to the left and no angular velocity as it is placed on a horizontal platform moving to the right with a constant velocitry 10 m/s. If after sliding on the platform without sliding. The coefficient of kinetic friction between the [...]
A solid ball of mass m and radius r spinning with angular velocity ω falls on a horizontal slab of mass M with rough upper surface (coefficient of friction μ) and smooth lower surface. Immediately after collision the normal component of velocity of the ball remains half of its value just before collision and it stops spinning. Find the velocity of the sphere in horizontal direction immediately after the impact (given Rω = 5).
01
Oct
A solid ball of mass m and radius r spinning with angular velocity ω falls on a horizontal slab of mass M with rough upper surface (coefficient of friction μ) and smooth lower surface. Immediately after collision the normal component of velocity of the ball remains half of its value just before collision and it [...]
A solid sphere of mass 3 kg is kept on a horizontal surface. The coefficient of static friction between the surfaces in contact is 2/7. What maximum force can be applied at the highest point in the horizontal direction so that the sphere does not slip on the surface? (in N)
01
Oct
A solid sphere of mass 3 kg is kept on a horizontal surface. The coefficient of static friction between the surfaces in contact is 2/7. What maximum force can be applied at the highest point in the horizontal direction so that the sphere does not slip on the surface? (in N) A rolling body of [...]
A ring of mass 3 kg is rolling without slipping with linear velocity 1 m/s on a smooth horizontal surface. A rod of same mass is fitted along its one diameter. Find total kinetic energy of the system (in J).
01
Oct
A ring of mass 3 kg is rolling without slipping with linear velocity 1 m/s on a smooth horizontal surface. A rod of same mass is fitted along its one diameter. Find total kinetic energy of the system (in J). A rolling body of mass m = 4 k g radius R and radius of [...]
A solid sphere rolls on a smooth horizontal surface at 10 m/s and then rolls up a smooth inclined plane of inclination 30∘ with horizontal. The mass of the sphere is 2 kg. Find the height attained by the sphere before it stops (in m).
01
Oct
A solid sphere rolls on a smooth horizontal surface at 10 m/s and then rolls up a smooth inclined plane of inclination 30∘ with horizontal. The mass of the sphere is 2 kg. Find the height attained by the sphere before it stops (in m). A rolling body of mass m = 4 k g [...]