Rotational Work

A thin-walled spherical shell is rolling on a surface. What fraction of its total kinetic energy is in the form of rotational kinetic energy about the center of mass?

Working with an ideal spring, force and the spring constant.

A person who weighs 670N steps onto a spring scale in the bathroom, and the spring compresses by 0.79cm. (a) What is the spring constant? (b) What is the weight of another person who compresses the spring by 0.34cm?

Simple Harmonic Motion: Calculating period, frequency and angular frequency.

The fan blades on a jet engine make 1000 revolutions in a time of 50.0 ms. Find: (a) The period (in seconds) (b) The frequency (in Hz) of the rotational motion (c) What is the angular frequency of the blades?

Working with elastic potential energy and a bowstring.

An archer pulls the bowstring back for a distance of 0.470 m before releasing the arrow. The bow and string act like a spring whose spring constant is 425 N/m. (a) What is the elastic potential energy of the drawn bow? (b) The arrow has a mass of 0.0300 kg. How fast is it traveling when it leaves the bow?

Working with pressure to calculate the force required to pull a lid off of an airless box.

An airtight box has a removable lid of area 1.3 * 10^-2 m^2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 0.85 * 10^5 Pa. The inside of the box is completely evacuated. What is the magnitude of the force required to pull the lid off the box?

Working with pressure and viscous flow.

A cylinder is fitted with a piston, beneath which is a spring. The cylinder is open at the top. Friction is absent. The spring constant of the spring is 3600 N/m. The piston has a negligible mass and a radius of 0.025 m. (a) When air beneath the piston is completely pumped out, how much does the atmospheric pressure cause t ...continues

angular momentum

A .015 kg coin of diameter .013 m is spinning at 9 rev/s about a vertical diameter at a fixed point on a tabletop. a) If the coin spins about a vertical diameter at 9 rev/s while its center of mass travels in a straight line across the tabletop at .05 m/s, what is the angular momentum of the coin about a point on the line of mot ...continues

Static Equilibrium

The system in figure 13-45 is in equilibrium. A mass of 225 kg hangs from the end of the uniform strut. The tension T in the supporting cable is measured to be 6,910 N. a) What is the mass of the strut? b) What is the vertical component of the force exerted on the strut by the hinge? c) What is the horizontal component of th ...continues

Static Equilibrium

A ladder rests against a frictionless vertical wall. The coefficient of static friction between the ladder and the floor is 0.44. What is the smallest angle at which the ladder will remain stationary?

Working with static equilibrium and tension.

A scaffold of mass 35 kg and length 5.8 m is supported in a horizontal position by one vertical cable at each end. A window washer of mass 86 kg stands at a distance d from the midpoint of the scaffold. The tension in the cable nearest the worker is twice the tension in the other. a) What is the tension in the cable nearest th ...continues