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Consider a uniform thin disk that rolls without slipping on ahorizontal plane. A horizontal force is applied to the center ofthe disk and in a direction parallel to the plane of the disk.
a. Derive Lagrange's equations and find the generalized force.
b.Discuss the motion if the force is not applied parallel to theplane of the disk?
An 860 kilogram race car can drive around an unbanked turn at a maximum speed of 59 meter per second without slipping. Compute the maximum speed if no down force acted on car
Based on your understanding of the material on Rome, in what ways do you see the concept of power or propaganda being displayed? Describe a particular artifact and the context with which it would have been viewed. What makes the artifact an image of ..
A uniform disk of mass 0.72 kg and radius 5.3 cm is mounted in the center of a 10 cm axle and spun at 717 rev/min. find the magnitude of the angular velocity of precession
Two .40 kg soccer balls collide elastically in a head on collision. The first l starts at rest and the second ball has a speed of 3.50 m/s after the collision, second ball is at rest. What is the final speed of the first ball.
Normal atmospheric pressure at sea level is generally considered to be equal to the pressure exerted by a column of mercury 760mm high. Calculate the corresponding pressure in inches and in Pascals
A 64 kilogram person is ice-skating due north with a velocity of 6.3 m/s when he collides with a 43 kilogram boy. determine the magnitude of the boy velocity
Two batteries (V1 = 15V and V2 = 12V) are in a circuit with three identical resistors (R1 = R2 = R3 = 5.1?). What is the current in the R3 resistor? Note that all resistor values are equal , which greatly simplifies your loop equations.
a supersized 5g cockroach walks out along a 1m long uniform horizontal wood flagpole which is connected to the side of a building with a light weight cable and a very low friction bearing. how far can the bug walk out along the pole before the cabl..
When a train's velocity is 12.0 {\rm{ m/s}} eastward, raindrops thatare falling vertically with respect to the earth make traces thatare inclined 30.0 ^\circ to the vertical on the windows ofthe train.
The allowed energies of a simple atom are 0.00 eV, 4.25eV , and 6.64eV. What wavelengths appear in the atom's emission spectrum
a baseball of a mass 0.173kg is thrown from the roof of a building 30.8m above the ground, with a initial velocity of 13.2m/s at an angle of 74 degrees above the horizontal. what is the max height the ball reaches
Torque on a Merry-Go-Round. Calculate the torque required to produce the acceleration, neglecting frictional torque. What force is required?
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