A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg mass by a thin, light wire that passes over a frictionless pulley, as shown. The pulley is a uniform solid disk of mass 2.00 kg and with a diameter of 0.500 m. After the system is released form rest, fnd (a) the magnitude of the tension in the wire on both sides (Hint: they are not the same!) (b) the acceleration of the box (c) the horizontal and vertical components of the force that the axle of the pulley exerts on the pulley

Block B, in the figure below, weighs 100 kg. The coefficient of friction () between Block B and the floor is 0.4. Pulley A has a radius of gyration (k) of 0.5 m, it has a mass of 300 kg (I-mk-) and a diameter of 15m. The system starts from rest. Neglect the weight of the cable. A constant force (P) of 1000 N is applied. Using the incrtia method of Chapter 13 determine: a) the angular acceleration of Pulley A b) the tension in the cable 100 kg B. 30 300 kg k-0.5m Dia-1.5 m

A lamina V of uniform mass density and total mass M kilograms occupies the region between y = l - x 2 and the x-axis (with distance measured in meters). Calculate the rotational kinetic energy if V rotates with angular velocity w = 4 radians per second about: (a) the x-axis. (b) the z-axis.

You hold a 1.80-N softball in your hand as shown in the figure. Consider your forearm and hand to be a uniform rod with a mass of 1.25 kg and the distance between the elbow joint and the ball in your hand is 2L = 31.5 cm. Your biceps exerts an upward force of 14.5 N on the forearm and is attached at a distance of d = 2.20 cm from the elbow. (a) Using the elbow joint as the axis of rotation, determine the magnitude of the net torque acting about the elbow due to the forearm, hand, and ball.

The figure shows a 5-kg solid homogeneous cylinder resting on an incline. De-termine(a) The lowest coefficient of friction between the cycling and the plane for whichthe cylinder will roll without slipping starting from rest. (b) The acceleration of the centre of the cylinder when it rolls without slipping. (Draw FBDs)

A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.50 kg and radius 0.150m. A 1.50 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Fig), and the system isreleased from rest. (a) How far must the stone fall so that the stone has 1.20 m/s speed? (b) What percentage of the total kinetic energy does the pulley have?

Ryan is attempting to curl a 25-kg dumbbell. He manages to get his forearm to a horizontal position, temporarily holding the dumbbell stationary. The forearm is 30 cm in length and has a mass of 4.0 kg. [Consider the forearm to have uniform mass distribution.] The distal biceps tendon is attached to the radius (one of the two bones of the forearm) 5.5 cm from the elbow. Ryan applies maximum force in an attempt to complete the curl, but his tendon ruptures (i.e., tension goes to zero). What is the total moment of inertia about the elbow (after the rupture)? Select one: a. 0.12 kg∙m2. b. 2.25 kg∙m2. c. 2.37 kg∙m2. d. 2.28 kg∙m2.

Two identical heavy spheres are seperated by distance 10 times their radius. Will an object placed at the mid point of the line joining their centres be in a stable equilibrium or unstable equilibrium ? Give reason for your answer.