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Q. In an earthquake, it is noted that a footbridge oscillated up and down in a one loop (fundamental standing wave) pattern once every 2.8 s. What other possible resonant periods of motion are there for this bridge? What frequencies do they correspond to?
Q. Mary needs to row her boat across a 100m wide river that is flowing to the east at a speed of 1.0m/s Mary can row the boat with a speed of 2.0 m/s relative to the water.If Mary rows stright north, how far downstream will she land? Draw a picutre showing Mary's displacment due to rowing, her displacemnet due to the river's motion, and her net displacement.
A wooden rod of negligible mass and length 82.2 is pivoted about a horizontal axis through its center. A white rat with mass 0.440 clings to one end of the stick, and the mouse with mass 0.220 clings to the other end. The system is released from rest..
The pulley system is used to lift a 61 kg crate. Note that one chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. The crate is rising with an acceleration of 2.4 m/s2. Assume the masses of the ch..
At this time it has reached a height of 420 metres above launch pad and attained an upward velocity of 50 ms-1. From this time on, the rocket has constant upward acceleration -10 ms-2 (due to the effect of gravity alone).
A 66 N m torque acts on a wheel with a moment of inertia 175 kg m2. If the wheel starts from rest, how long will it take the wheel to make one revolution? The system is released from rest and accelerates under the weight of m2.
Find the Youngs modulus for the muscle tissue
A 51.0-g Super Ball traveling at 27.0 m/s bounces off a brick wall and rebounds at 21.5 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.75 ms,
A steel beam that is 7.00m long weighs 330N. It rests on two supports, 3.00m apart, with equal amounts of beam extending from each end. Suki, who weighs 505 N, stands on the beam in the center and then walks toward one end. How close to the end can s..
A hollow aluminium cylinder 20 cm deep has an internal capacity of 2.000 L at 20.00C. It is completely filled with turpentine and then warmed to 80.00C. (i) How much turpentine overflows? (ii) If it is then cooled back to 20.00 C, how far below th..
What are the magnitudes of the (a) impulse and (b) average force on the passenger during the collision? If the passenger were to jump upward with a speed of 6.00 m/s relative to the cab floor just before the cab hits the bottom of the shaft, what ..
A grating with 504 lines/mm is illuminated with light of wavelength 305 nm. What is an angular separation between the two lines formed in order m = 2.
A solid, frictionless cylindrical pulley with a mass of 3kg and a 0.420 m radius is used to draw water from a well. A 1.50kg bucket is attached to a cord that is wrapped around the pulley. If the bucket starts from rest at the top of the well and ..
Two objects are maintained at constant temperatures, one hot and one cold. Two identical bars can be attached end to end, as in part a of drawing, or one on top of the other, as in part b. When either of these arrangements is placed between the hot a..
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