Chapter 9, Problem 9.16P

A 7 meter long stick is suspended from two strings.  The stick has a mass of 17kg that is uniformily distributed.  A 9kg dog is sitting 0.7m from the left end of the stick.  Where is the center of mass? How do you know?

A 75 kg road bicycle racer rides down the highway from Pikes peak. During one stretch of the ride, he descends 5 meters in 12.5 seconds, while accelerating from 35 km/hr to 55 km/hr. Assuming rotational kinetic energy and dissipative forces to be negligible, what average power is supplied by the gravitational force during this time?

A 40-kg door with a height of 2.0 m and a width of 0.80 m is hinged at the end of the door along its vertical height. What is the kinetic energy of the door if it swings at 6.3 rad/s about a vertical axis that passes through the hinge of the door?

Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. True False

When generating maximum power from his club, Captain Caveman holds his club at a very specific angle. The bottom of his club (closest to his hands) has coordinates of (1.25, 2.5) and the top of his club has coordinates of (2.3, 3.7), measured in feet. What is the absolute angle of his club relative to the right horizontal?

To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.0250 kg.m, and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) Howmuch work does she do?

To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250kg-m2 and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) How much work does she do?

Check Your Understanding Find x(t) for the mass-spring system in Example 8.11 ii the particle starts from x0=0 at t=0. what is the particle’s initial velocity?

A block is connected to a spring that is suspended from the ceiling. Assuming air resistance is ignored, describe the energy transformations that occur within die system consisting of the block, the Earth, and the spring when the block is set into vertical motion.