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1. A 96 Ib weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping constant c=18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Find its displacement for t > 0.
2. A 16 lb weight stretches a spring 6 inches in equilibrium. It is attached to a damping mechanism with constant c. Find all values of e such that the free vibration of the weight has infinitely many oscillations.
A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 25 m/s, Compute what is the angle that the string makes
A cord is wrapped around the rim of a solid uniform wheel 0.300 {\rm m} in radius and of mass 9.00 {\rm kg}. A stable horizontal pull of 42.0 {\rm N} to the right is exerted on the cord, pulling it off tangentially from the wheel.
a 2kg mass ona horizontal frictionless surface is attached to the free end of an ideal spring of stiffness k=30N/m. by what distance is the spring compressed as the mass comes to rest again
question1three identical 3.60 masses are hung by three identical springs. each spring has a force constant of 4.90 and
An airplane with a speed of 87.7 m/s is climbing upward at an angle of 35.1 ° with respect to the horizontal. When the plane's altitude is 533 m, the pilot releases a package.
A solenoid has a radius of 2 mm and a length of 1.2 cm. If the number of turns per unit length is 200 and the current is 12 A, calculate the magnetic flux density at (a) the center and (b) the ends of the solenoid.
The length of a simple pendulum is 0.83 m and the mass of the particle (the "bob") at the end of the cable is 0.25 kg. What is the angular frequency of the motion
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. What is the mass of the wheel
A charged particle A exerts a force of 2.69 ?N to the right on charged particle B, when the particles are 14.0 mm apart. Particle B moves straight away from A to make the distance between them 17.0 mm. What vector force does it then exert on A?
The coefficient of kinetic friction between the brake band and the drum is 0.30. Knowing that a force P of magnitude 50 N is applied at A when the angular velocity is 180 rpm counterclockwise, determine the time required to stop the flywheel when ..
A 42.0 kilogram parachutist lands moving straight downward with a speed of 3.85 m/s. If the parachutist comes to rest with constant acceleration over a distance of 0.750 meter, determine what force does the ground exert on her
A hollow spherical shell has mass 7.90kg and radius 0.210m. What is the kinetic energy of the shell after it has turned through 6.00rev
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