The ball B has a mass of 1.3 kg and is originally rotating in a circle. As shown, the cord AB has a length of 2.7 m and passes through the hole A, which is 1.7 m above the plane of motion. If 0.4 m of cord is pulled through the hole, determine (1) the speed V of the ball when it moves in a circular path at B. (2) the tension Ti in cable when it moves in a circular path at B. (3) the speed V2 of the ball when it moves in a circular path at C. (4) the tension T2 in cable when it moves in a circular path at C. (5) Work done by the Tension force T

A string can support a stationary hanging load of mass 25 kg before breaking. a) Calculate the maximum tension that the string can support. b) Suppose one end of the string is attached to an object of mass m = 3 kg, while the other end is fixed to the center of a frictionless table as shown in the figure. When given an initial speed, the object moves along a horizontal circle of radius R = 0.8 m. Calculate the maximum speed the object can have before the string breaks.

A cellphone steps into a “Graviton” and stands up against the frictionalwall. The Gravitron starts to spin and the floor lowers below the cellphone butthe cellphone does not accelerate downwards, she has no net force vertically. Assume:● The radius of the Gravitron is 7.5 m● The cellphone has a tangential velocityof 15 m/s● The man has mass M Determine: Determine the minimum coe cient of static friction between the wall and the cellphone.

A snowboarder drops from rest into a halfpipe of radius R and slides down its frictionless surface to the bottom (see the figure below). Show that (a) the snowboarder's speed at the bottom of the halfpipe is v = V 2gR, (b) the snowboarder's centripetal acceleration at the bottom is a, = 2g, and (c) the normal force on the snowboarder at the bottom of the halfpipe has magnitude 3mg.