Rotational Mechanics: Finding the angle of rotation.

The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 rad during the first second. Find the angle rotated during the next second.

Determining the gravitational potential energy.

Find the work done in bringing three particles each having a mass of 100g from large distances to the vertices of an equilateral triangle of side 20cm.

Working with Bernoulli's Principle.

An airplane flying at high altitude contains 100m^3 of air at STP(273 degrees and 1 atm). If a 1-cm^2 hole suddenly develops in the cabin wall, how long will it take for cabin pressure to drop by half?

Question pertaining to a 3rd-class lever and angular velocity.

I need to show mathematically how two 3rd-class levers joined together in a series increase angular velocity versus using a single 3rd-class lever. For example, a football player kicking the ball from the tee. I need to compare when he kicks it with his kicking leg maintained in a straight condition, i.e. only his hip joint ro ...continues

Time to remove a table cloth from a table and leave a glass standing

What is the longest time in which the cloth can be pulled out so that a glass 6 inches fom the edge comes to a rest before falling off the table? Assume that the coefficient of friction of the glass sliding on the tablecloth or sliding on the tabletop is .5.(for the trick to be effective the cloth should be pulled out so rapidly ...continues

Gravity and maximum height question.

A ball is thrown straight upward and rises to a maximimum height of 16m above its launch point. At what height above its launch point has the speed of the ball decreased to 1/2 its initial value?

Explanation that a hole through the center of the earth executes simple harmonic motion.

The gravitational force on a body located a distance R from the center of a uniform spherical mass is due solely to the mass lying at distance r ...continues

Proving that the motion models the given equation and finding the constant values in a situation where a mass is sliding on a rotating rod.

A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at constant angular velocity w. Show that the motion is given by r=Ae^(-yt)+Be^(yt), where y is a constant which you must find and A and B are arbitrary constants. Neglect gravity. Show that for a particular choice of initial co ...continues

Exploding Projectile

An instrument carrying projectile accidentally explodes at the top of its trajectory. The horizontal distance between the launch point and the point of explosion is L. The projectile breaks into pieces which fly apart horizonally. The larger piece has three times the mass of the smaller piece. To the surprise of the scientist in ...continues

Conservation of momentum in a situation with men jumping off a flatcar.

N men, each with mass, m, stand on a railway flatcar of mass, M. They jump off one end of the flatcar with velocity u relative to the car. The car rolls in the opposite direction without friction. a) What is the final velocity of the flatcar if all the men jump at the same time? b) What is the final velocity of the flatca ...continues