12 kg 0.3 m

A 0.32 lbm baseball is tethered to a string and swung by a rotating vertical pole. If the string is 12 ft long and the speed of the ball is 55 mph, determine the tension in the string, the angle the string makes with the vertical and the angular speed of the pole. ANS. 0=86.6°, T = 5.4 lbf, o=6.73 rad/sec

A box of mass m = 0.7 kg is attached to a rope which is wrapped around a physical pulley with a radius of R = 10.2 cm and a rotational inertia of I = 0.075 kg·m2. When the box is released it starts to fall down with a constant acceleration and, at the same time, the pulley starts to spin up, see the picture below. Assuming that the pulley is frictionless, what is the magnitude of the box's acceleration and what is the tension in the rope?   The acceleration of the box, a ? The tension in the rope, T? If the box starts from rest and traveled downwards a distance of h = 28 cm, what is the speed of the box and what is the angular velocity of the pulley? The speed of the box, v =? The angular velocity of the pulley, ω? -------------------------------------------------------------- A Merry Go Round carousel has a radius of R = 2.4 m and a rotational inertia of I = 695 kg·m2. A 75‑kg student is on the carousel at the midpoint between the carousel's center and the rim (at R/2 distance from…

Consider a uniform ladder of length 4.3 m and mass 10 kg.  The ladder is falling over, pivoting about the end that is touching the ground.  Someone is pushing on the top end of the ladder with a horizontal force of size 415 N.  At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m.  Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)

On a wheel of mass 2.75 kg act 3 forces as shown in figure. Determine the angular acceleration felt by the wheel due to these forces.