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Consider the driven, damped harmonic oscillaror discussed. (a) Calculate the power dissipated by the damping force. (b) Calculate the average power loss, using the fact that the average of sin2( t) over a cycle is one-half.
Tim walks half of the time and runs the other half. In terms of given quantities, in the special case that, what will be Tim's margin of victory.
Displacement d2 is in the xz plane 30° from the positive direction of the x axis, has a positive z component, and has magnitude 1.10 m.
An 8.m, 220 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.75, and the ladder makes a 50° angle with the ground. How far up the ladder can an 770 N person climb before the la..
A bowling ball with a mass of 6.8 kg strikes a stationary pin that has a mass of 1.6 kg. After the collision, the pin flies forward (in the positive x direction) with a speed of 7.3 m/s, and the ball continues forward at 3.2 m/s (in the positive x..
Illustrates a FBD of the person
A uniform spherical shell of mass 8.60kg with diameter 48 cm has four small masses of mass 2.00kg attached to its outer surface and equally spaced around it. This combination is spinning about an axis running through the center of the sphere and t..
Imagine a frictionless pulley (a solid cylinder) of unknown mass M and radius r = 0.200 m which is used to draw water from a well. A bucket of mass m = 1.50 kg is attached to a massless cord wrapped around pulley. The bucket starts from rest at th..
The resistor is connected in series with total set of lightbulbs. What is the value of the resistance? What is the power loss in the resistor.
The spring stretches 5.0 cm from its previous equilibrium position toward the two spheres. Calculate the spring constant.
Using energy considerations, compute the average force the beam exerts on the pile driver while the pile driver is brought to rest.
The flywheel of an engine has a moment of inertia 2.2 {rm kg} cdot {rm m} ^{2} about its rotation axis. What is its final kinetic energy.
A uniform plank of length 5.9 m and weight 212 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support .To what distance x can a person who weighs 443 N walk on overhanging part of the plank before it just begins ..
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