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A ruler of mass m = 75g and L=3.0meters is placed so that it is exactly balanced across two spinning cylinders a distance d = 1.0meters apart. The coefficient of kinetic friction between the ruler and each cylinder is ?k = 0.2. You move the ruler 12 cm to the right and discover that it pulls back to the left. It then overshoots the center point, goes a maximum of 11 cm to the left and then continues to move back and forth with smaller and smaller amplitude.
a) What is the frequency of oscillation in the ruler?
b) What is the maximum distance it goes to the right just after it has gone a maximum of 11 cm to the left?
c) Create an equation of motion that describes the motion of the ruler.
A person who weighs 620 N stands at x = 5m, right on the end of a long horizontal diving board that weighs 350 N. The diving board is held up by two supports, one at its left end at x = 0, and one at the point x = 2.00 m.
A physical pendulum is composed of a 1.4 m rod with mass mr = 0.5 kg and a solid sphere with mass ms = 2.0 kg, What is the angular frequency of the oscillation
On your wedding day your lover gives you a gold ring of mass 3.98 g. 59 years later its mass is 3.73 g. On the average how many atoms were abrated from the ring during each second of your marriage? The atomic mass of gold is 177 u.
rotates to provide an "artificial gravity" of 3.10 m/s2 for persons who walk around on the inner wall of the outer rim. Find out the rate of the wheel's rotation in revolutions per minute that will produce this effect.
Two electrons are fixed 2.1 cm apart. Another electron is shot from infinity and comes to rest midway between the two. What was its initial speed
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.
a 1cm-tall object is 6cm in front of a converging lens with a focal length of 10cm. Use ray tracting to determine the location of the image on graph, Calculate the image position and height using the lens equation
How much work has he done? (b) Another player, wearing clothes that offer better protection against heat loss, is able to remain in the game long enough to do 2.1 × 105 J of work. What is the magnitude of the heat that he has lost?
Calculate the energy density in the electric field. After the collision, the club head travels (in the same direction) at 46 m/s. Find the speed of the golf ball just after impact.
A billiard ball moving at 5 m/s strikes a stationary ball of the same mass. After the collision, find the struck ball's velocity (magnitude and direction) after the collision
A plate carries a charge of -2.0 microcoulombs while a rod carries a charge of 2.5 microcoulombs. How many electrons should be transferred from the plate to the rod, so that both objects have the equal charge.
A particle moving along the x-axis has its position described by the function x =( 5.00 t3? 3.00 t+ 2.00 )m, what are the particle's position, velocity and acceleration
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