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Central spring force A 2-kg mass on a frictionless table is attached to one end of a massless spring. The other end of the spring is held by a frictionless pivot. The spring produces a force of magnitude 3r newton on the mass, where r is the distance in meters from the pivot to the mass. The mass moves in a circle and has a total energy of 12 J. r
(a) Find the radius of the orbit and the velocity of the mass.
(b) The mass is struck by a sudden sharp blow, giving it instantaneous velocity of 1 m/s radially outward. Show the state of the system before and after the blow on a sketch of the energy diagram.
(c) For the new orbit, find the maximum and minimum values of r.
oxygen gas is compressed in a piston-cylinder device from an initial state of 0.8 m3kg and 25oc to a final state of 0.1
Find analytically Acceleration of piston, Velocity of piston and Angular acceleration of connecting rod when the crank has turned through 400 from top dead center and the piston is moving downwards
1.Determine the impulse exerted on the plate of Prob. 18.31 during the impact by
Show that the logarithm of the ratio of tension in the cord is equal to product of the cofficient of friction and the angle of lap in radius.
A heat engine operating between 1000 F and 70 F has a power output of 1000 BTU/s and a thermal efficiency of 0.40. What is the rate of entropy creation (BTU/R) the heat engine?
Assume disturbance torques are zero and spacecraft moment of inertia is 400 kg.m2
a spherical balloon contains 2 kg of water at 230 degrees c 400 kpa the specific volume is 0.5951 m3kg. the balloon
water flows through a venturi with piezometers attached to the upstream pipe and the minimum area section. the velocity
The diffusivity of copper in a commercial brass alloy is 10^-20 m2/s at 400 degrees C. The activation energy for diffusion of copper in this system is 195 kJ/mol. Calculate the diffusivity at 600 degrees C.
a plate of mass m is suspended between two opposing jets each of area a velocity vo and density d. the plate is
Air enters an 8” diameter pipe at atmospheric pressure at a velocity of 30 ft/s and 65 F and exits at approximately the same pressure. While in the pipe, the air passes over a heat exchanger that causes its temperature to increase by 25 F.
consider an ideal steam reheat cycle in which the steam enters the high pressure turbine at 600 psi and 700f and then
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