Calculating Acceleration, Net Force, and Contact Force

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• A cylinder and frictionless block are in contact on inclined plane. Find their acceleration.

  6869 A cylinder and frictionless block are in contact on inclined plane. Find their acceleration See attached file.

• A force slides a crate across a level floor. Find the maximum force and acceleration.

  Note that as P increases, the upward, normal force N becomes less. When P is maximum, N is zero, and the vertical net force is zero. This gives: (1) P sin 25 = M g Step 3.

• Angular acceleration of cylinder caused by descending mass

  Although we do not know friction force F at the contact point yet, using 'A= ac /R', we can apply 'net torque = I a /R' for an axis at contact point.

• Car acceleration and net force

  Calculating the net force and acceleration of a car and a bowling ball.

• Speed of loop-de-loop roller coaster at the top of a circle

  - -So, at the very top of the circle, if you are a passenger on the roller coaster, you will have force of gravity acting downward on you, and also, the contact force from your seat will be pushing downward on you. -=> net force on you = mg + F_N

• 'Net Torque = I alpha' applied to a cylinder descending

  For an axis at the c.m. of the cylinder, applying 'net force = Io A', in terms of cord force C, angular acceleration A, and the moment of inertia Io about the c.m. axis, we can write: (1) 'C R = (.5 M R^2) A' in which C and A are unknown.

• Normal Force of a Box Resting on Table

  Since the body is at rest, no net force is acting on it. Thus the downward gravitational pull and the normal force balance each other.

• contact force on two blocks

  Hence on the block M2 the net force is F-T, whether on M1 the net force is T. The key idea now is to note that both blocks are in touch, hence their speed and their accelerations are equal. Denote the common acceleration by a.

• A person and cage are suspended from pulley; Find force exerted on rope

  For the two ropes which actually are in contact with the man and the cage, express the total upward force and the total downward force on the cage-and-man.