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A "torsional pendulum" comprises a uniform vertical quartz fiber attached to the top of a uniform solid sphere of mass m = 2 kg and radius r = 0.1m. The fiber exerts a torque on the sphere that is proportional to the amount it has been twisted: torque= -k? theta, with ? = 0.7 Nm/radian. (Here the direction of the vector ?theta points parallel or antiparallel to the fiber direction.) Following the derivation of the equation of motion for a mass on a spring that we did in class, calculate the period of rotational motion of the sphere about its vertical axis. If the sphere is initially given an angular velocity of 1.5 radians/s when the fiber is relaxed, what is the angular amplitude of the subsequent motion?
What is the coefficient of kinetic friction between sled and incline? (Enter 0 if sled does not move.)
two blocks are connected by a rope passing through a pulley. one block is on a table and has a mass of 1kg the other is
A defibrillator passes a brief burst of current through the heart to restore normal beating. In one such defibrillator, What is the initial current through the patient
An object is placed to the left of a convex lens and on the optical axis. calculate the magnification of the image formed by the lens
A charge of q = +7.50 µC is located in an electric field. The x and y components of the electric field are Ex = 4.80 103 N/C and Ey = 7.40 103 N/C, respectively. (a) What is the magnitude of the force on the charge? (b) Determine the angle that th..
A rectangular loop of wire with length L = 29.5 cm and width W = 16.7 cm carries a current I1 = 1.92 A. What is the magnitude of the net force on the loop
A house is 53.0 ft long and 48 ft wide, and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters and cubic centimeter.
Two objects with masses 5.60 kg and 1.40 kg hang 0.500 m above the floor from the ends of a cord 6.80m long passing over a frictionless pulley. Both objects start from rest. Find the maximum height reached by the 1.40kg object.
At some automobile toll-collecting stations, a thin metal wire sticks up from the road and makes contact with cars before they reach the toll collector. What is the purpose of this wire?
A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each with mass 400 grams (0.4 kg), at ends of a very low mass rod of length d = .6 m. The barbell spins clockwise with angular speed 20 radians/s.
A 65-kg person wants to get to the top of a 2 m high ledge by swinging up to the top by running and grabbing a suspended rope suspended 5m above the ground by a tree.
Tritium with a half-life of 12.3 years is used to verify the age of expensive brandies. how many years ago was it produced
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