In this PhysCast we are asked to consider the motion of a uniform cylinder of mass m and radius R as it rolls smoothly down a ramp at angle theta to the horizontal. We are asked to find an expression for the linear accceleration of the centre of mass of the cylinder.

The following PhysCast is about a sphere which is attached to a wall. A uniform sphere of mass m = 0.85 kg and radius r = 4.2 cm is held in place by a massless rope attached to a frictionless wall a distance of L = 8.0 cm above the centre of the sphere. Find (a) the tension in the rope and (b) the force on the sphere from the wall?

This PhysCast looks at a conservation of energy problem. A 60 kg skier leaves the end of a ski-jump ramp with a velocity of 24 m/s directed 25 degrees above the horizontal. Suppose that as a result of air drag the skier returns to the ground with a speed of 22 m/s, landing 14 m vertically below the end of the ramp. From the launch to the return to ground, by how much is the mechanical energy of the skier-Earth system reduced because of air drag?

This Physcast asks us to consider the motion of a block which is falling onto a spring. A 250g block is dropped onto a relaxed vertical spring that has a spring constant k = 2.5 Ncm-1. The block becomes attached to the spring and compresses the spring 12 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by a) the gravitational force and b) the spring force? c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible).

This problem is about uniform circular motion. A plane turns by banking at an angle of 30 degrees to the horizontal. If the radius of curvature of the turn is 10km and the plane maintains a constant height above the ground, what is the speed of the plane?

This PhysCast is about uniform circular motion. A puck of mass m1 is rotated in a circle of radius R on a frictionless air-hockey table. It is connected to a stationary, suspended mass m2 by a cord passing through a hole in the table. Find a) The tension in the cord b) The speed on the puck c) The period of the rotation.

This question is about standing waves on a string. A wire 37cm long is clamped at both ends The wave speed along the wire is 324.6 m/s. Find a) The standing wave with the longest wavelength that can exist on this wire? b) The lowest standing wave frequency?

A wave on a taut wire is described by the equation y=1.5sin(0.10x-560t), where x and y are in cm and t is in seconds. Find the: a) Amplitude, b) Wavelength, c) Period, d) Wave speed of the wave.

An anchor of mass 500kg is attached to a light cable that passes over a roller of negligible mass and winds around a hollow cylindrical drum of radius 1.2m and mass 250kg which can rotate around a frictionless axel. The anchor is released and drops 18m to the surface of the water. Use energy considerations to calculate the angular velocity of the drum when the anchor hits the water.

This problem is about acceleration in uniform circular motion. A jet is diving vertically downward at 1080 km/hr. The pilor will lose consciousness if the accceleration exceeds 5g. At what height above the ground must the pilot start a quarter turn to pull out of the dive.