modeling pendulums

A pendulum is modeled by a mass m, attached to one end of a light rod of lenght l, whose other end is attached to an axis. Write down the equation of motion (Newton's Law) modeling the pendulum. Rewrite the model as a system of two first order equations for the position and velocity of the mass. Find the equilibrium points an ...continues

Application of Newton's Laws

a.) A wedge with mass M rests on a frictionless horizontal tabletop. A block with mass m is placed on the wedge. There is no friction between the block and the wedge. The system is released from rest. Calculate: i) the acceleration of the wedge ii) the horizontal and vertical components of the acceleration of the block. ...continues

Velocity , Constant Acceleration

1. You and two of your friends decide to have a race. You each start from the center of a circle and travel out along different radius at the same time. One of you moves with a constant speed of v1, the second of you starts from rest and moves with a constant acceleration a, and the third, moving with an initial speed v2, decele ...continues

Force and Motion

Several force and motion problems attached.

Ice cooling liquids

DETERMINE HOW MANY BAGS OF ICE ARE REQUIRED TO COOL ONE, 24-BOTTLE CASE OF A BEVERAGE FROM ROOM TEMPERATURE (25ºC) TO A COMFORTABLE, QUAFFING TEMPERATURE (5ºC). ASSUME THE FOLLOWING: THERE IS NO HEAT LOSS FROM YOUR COOLER TO THE AMBIENT ENVIRONMENT ALL HEAT GIVEN OFF BY THE BEVERAGE IS USED TO MELT THE ICE AND/OR HEAT ...continues

Mass/force/gravity question

The mass of uranus is 9x10 to the 25th kg. Its mean distance from the earth is about 3x10 to the 12th meters. Estimate your mass in kilograms at birth. Then find the force exerted upon your body at birth by uranus. Is it very large? Next assume that you were delivered by a 100 kg physician who was on the average about 10 cm from ...continues

concentration problem

Blood removal of 45 ml was necessary for a particular patient. The blood was being collected when the nurse spilled the blood everywhere. It could not be determined how much blood had been removed. The nurse wiped all the blood from the floor with guaze pads. these wet guaze pads were thoroughly rinsed in a bucket containing 1.5 ...continues

viscosity/flow problem

A viscous fluid is moving through a flow pipe. the flow is 2x10 to the -3 m3/s. Now, consider another tube with a fluid twice the viscosity which is moving in a pipe whose length is 3 times the original with a radius 1.5 times the original. Th pressure difference across this new pipe is 1/3 that of the original. what is the flow ...continues

concentration problem

A patient needs to have 45ml of blood removed. While the blood is being collected the nurse spills it on the floor. she wipes it up using guaze pads. These wet pads are then rinsed out in a bucket that contains 1.5 L of water. The concentration of the blood mixed with water is 0.8 x 10 to the 6th cells/ml. The patient is known t ...continues

Pressure problem

A high heel shoe leaves a foot print on the floor. the front area part of the print has an area or 32.5cm squared. the heel of shoe leaves a 1cm cirle imprint. Standing on one leg, what pressure in pascals would you exert on the floor, assuming you weigh 165 lbs? How deep would one need to dive in fresh water in order to achieve ...continues