An old record player of `15.0 cm` radius at `33.0"rev" min^(1)` while mounted on a `30^(@)` incline as shown in figure

a. If a mass `m` can be placed anywhere on the rotaing record , where is the most critical place on the disc where slipping might occur ?
b.Calculate the least possible coefficient of friction that must exist if no slipping occurs.

A block of mass 1kg is placed on the periphery of a rotating rough circular table of radius 50cm as shown in the figure.Angular velocity of the table is 4 rad/s.The minimum value of coefficient of friction between the contact such that there is no relative slipping is (g= 10 m/s^2)

A block of mass 1kg is placed on the periphery of a rotating rough circular table of radius 50cm as shown in the figure.Angular velocity of the table is 4 rad/s.The minimum value of coefficient of friction between the contact such that there is no relative slipping is (g= 10 m/s^2)

A boy is pushing a ring of mass 2kg and radius 0.5 m with a stick as shown in figure. The stick applies a force of 2N on the ring and rolls it without slipping with an acceleration of 0.3 m/s^2. The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring of (P/10). The value of P is

A boy is pulshing a ring of mass 3 kg and radius 0.6 m with a stick as shown in figure. The stick applies a force of 3N on the ring and rolls it without slipping with an acceleration of 0.4 m//s^(2) The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficeient of friction between the stick and the ring is (f)/(10) The vlaue of F is

A boy is pulshing a ring of mass 3 kg and radius 0.6 m with a stick as shown in figure. The stick applies a force of 3N on the ring and rolls it without slipping with an acceleration of 0.4 m//s^(2) The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficeient of friction between the stick and the ring is (f)/(10) The vlaue of F is

A sufficiently long plane of mass 4kg is placed on a smooth horizontal surfaces A small block of mass 2kg is placed over the plank and is being acted upon by a time varying horizontal force F = (0.5t) where F is in newton and t is in second as shown in figure. The coefficient of friction slipping the plank and the block is given is mu_(s) = mu_(k) = mu , at time t = 12s the relative slipping between the plank and the block is just likely to occur The coefficient of friction mu is equal to

A sufficiently long plane of mass 4kg is placed on a smooth horizontal surfaces A small block of mass 2kg is placed over the plank and is beging acted upon by a time verying horizontal force F = (0.5t) where F is in newton and t is in second as shown in figure. The coefficient of friction slipping the plank and the block is given is mu_(s) = mu_(k) = mu time t = 12s the relative slipping between the plank and the block is just likely to accor The coefficient of friction mu is equal to

Blocks A and Bin the Fig. 2E.46 .(a) are connected With a string of negligible mass. The masses are placed on an inclined plane of inclination 30^(@) as shown inFig. 2E.46 (a) . If A and B each have mass m and mu_(A)=0 and mu_(R)=sqrt(2/3) , where mu_(A) and mu_(B) are the coefficient of friction between plane and the bodies respectively, calculate the acceleration of the system and tension in the string.