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A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measured to be 10.8 s. What is the height of the tower?
End A of the bar AB rests on a frictionless horizontal surface, and end B is hinged. A horizontal force vec F of magnitude 107 {rm N} is exerted on end A. You can ignore the weight of the bar. What is the vertical component of the force exerted by..
An athlete at a gymnasium holds a 3.0kg steel ball in his hand. His arm is 70cm long and has a mass of 4.0kg. Calculate the magnitude of the torque about his shoulder if he holds his arm
What is the acceleration of a 747 jumbo jet, mass 31,000 kg, in takeoff when the thrust for each of its four engines is 28,000 N?
A car is traveling at 61.6 km/hr on a flat, concrete highway. If the brakes are applied such that skidding occurs, the kinetic coefficient of friction between the road and tires is 0.802. If anti-lock brakes are properly applied then no skidding o..
A 50-kilogram woman balances on one heel of a pair of high heel shoes. If the heel is circular with radius of .5 cm, what pressure does she exert on the floor.
An aircraft performs a maneuver called an aileron roll. During this maneuver, the plane turns like a screw as it maintains a straight flight path, which is the acceleration of the wing tip
A uniform plank of length 4.30 m and weight 226 N rests horizontally on two supports, with 1.10 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 437 N walk on overhanging part of the plank be..
A car travelling 92 {rm km/h} is 150 {rm m} behind a truck travelling 80 {rm km/h}. How long will it take the car to catch the truck.
Xu is a new material discovered by a TA. The specific heat C and latent heat L of Xu are measured by heating up a piece of Xu sample. The temperature T (in K) of Xu sample varying as a function of heat Q (in 103 J) transferred to it.
How long would it take her to reach the bottom of the hill, assuming she starts from rest and accelerates uniformly, if the elevation change is 324.
A solid, uniform disk of radius 0.250 m and mass 62.3 kg rolls down a ramp of length 4.70 m that makes an angle of 18° with the horizontal. Find the angular speed of the disk at the bottom of the ramp
The 40 kg man in the roller coaster car is sitting on a bathroom scale. If he is travelling at 35.3 m/s at the point shown and the radius of vertical coaster track is 53 meters, to the nearest newton what does the scale read?
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