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A thin plate of length l rests on a half cylinder of radius r. Derive an expression for the period of small oscillations of the plate
A thin semicircular plate has a radius a and a mass m. Determine the mass moment of inertia of the plate with respect
A thin plate of the shape indicated and of mass m is suspended from two springs as shown. If spring 2 breaks, determine the acceleration at that instant
A sphere of radius r and mass m has a linear velocity v0 directed to the left and no angular velocity as it is placed on a belt moving to the right
A sphere of radius r and mass m is projected along a rough horizontal surface with the initial velocities indicated.
A sphere of radius r and mass m is placed on a horizontal floor with no linear velocity but with a clockwise angular velocity ?0.
A sphere rebounds as shown after striking an inclined plane with a vertical velocity v0 of magnitude v0 = 5 m/s.
A sphere of radius r and weight W with an initial clockwise angular velocity ?0 is placed in the corner formed by the floor and a vertical wall
A spring is used to stop a 200-lb package which is moving down a 20° incline. The spring has a constant k = 125 lb/in. and is held by cables
A square plate of side 360 mm is hinged at A and B to a clevis. The plate rotates at the constant rate ?2 = 4 rad/s with respect to the clevis
A spring scale A and a lever scale B having equal lever arms are fastened to the roof on an elevator, and identical packages are attached to the scales
A steel rod is bent into a semicircular ring of radius 36 in. and is supported in part by cables BD and BE which are attached to the ring at B
A stack of several sheets of drywall of mass 170 kg rests on three wooden blocks placed under the edges of the stack
A stream of water flowing at a rate of 300 gal/min and moving with a velocity of magnitude v at both A and B is deflected by a vane welded to a hinged plate
A stream of water having a cross-sectional area of 1.5 in2 and moving with a velocity of magnitude 60 ft/s at both A and B is deflected by two vanes
A small 2-kg sphere B is attached to the bar AB of negligible mass which is supported at A by a pin and bracket and connected at C to a moving support D
A small barrel having a weight of 250 lb is lifted by a pair of tongs as shown. Knowing that a = 5in, determine the forces exerted at B and D on tong AB
A small 8-oz collar D can slide on portion AB of a rod which is bent as shown. Knowing that the rod rotates about the vertical AC at a constant rate
A small sphere of weight W is held as shown by two wires AB and CD. If wire AB is cut, determine the tension in the other wire
A space shuttle is describing a circular orbit at an altitude of 200 mi above the surface of the earth
A space probe is describing a circular orbit of radius nR with a speed v0 about a planet of radius R and center O
A space vehicle is in a circular orbit 200 mi above the surface of the moon. Knowing that the radius and mass of the moon are 1080 mi and 5.03 *1021 lb
A simple friction drive consists of two disks A and B. Initially, disk B has a clockwise angular velocity of 500 rpm, and disk A is at rest
A ski jumper starts with a horizontal take-off velocity of 25 m/s and lands on a straight landing hill inclined at 30o
A simplified model consisting of a single straight line is to be obtained for the variation of pressure inside the 0.4-in.-diameter barrel of a rifle