Angular acceleration of a cylinder

A massless string is wrapped around a uniform solid cylinder with mass M = 10 kg and radius R = 0.40 m. One end of the string is attached to the cylinder and the free end is pulled tangentially by a force that maintains a constant tension T = 5 N . Find (a) the angular acceleration (b) the angular speed of the cylinder 5.0 s after the force is applied to the cylinder initially at rest.

Application of Newtons Laws

a.) A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge. There is no friction between the block and the wedge. The system is released from rest. Calculate: i) the acceleration of the wedge ii) the horizontal and vertical components of the acceleration of the block. (Do these answers reduce to the correct results when M is very large?) B.) The wedge and the block now have a horizontal force P applied to the wedge. What magnitude must P have if the block is to remain at a constant height above the tabletop? I've posted this one before. I got an answer from one of the TA's which was good, but I'm still a little confused. So I though... click for more

Force word problem

The largest caliber aircraft gun operated by German Air Force in WW2 was the 12.8cm flak 40. The weapon fired a 25.8kg shell with a muzzle speed of 880m/s. What propulsive force was necessary to attain the muzzle speed within the 6.00m barrel.(assume the shell moves horizontally w/consistant acceleration and neglect friction) This is my first physics class, so my knowledge is basic.

Force word problem

The gravitational force on a baseball is -Fgj(with a ^ over the j) A pitcher throws the baseball with velocity vi (with a ^ over the i) by uniformly accerating it straight forward horizontally for a time interval change of t = t-0 =t. If the ball starts from rest, through what distance does it accelerate before its release and what force does the pitcher exsert on the ball? This is my first physics class. I am not clear on the i and j w/the ^ over them. thanks

Circular Motion and Gravitation

A bead can slide without friction on a circular hoop with a radius of .100 m in a vertical plane. The hoop rotates at a constant rate of 3.00 rev/s about a vertical diameter. a) find the angle θ at which the bead is a vertical equilibrium. b) is it possible for the bead to "ride" at the same elevation as the center of the Hoop? c) what will happen if the hoop rotates at 1 rev/s?