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A particle P of mass m can slide along a smooth rigid straight wire. The wire has one of its points fixed at the origin O, and is made to rotate in the (x, y)-plane with angular speed . By using the vector equation of motion of P in polar co-ordinates, show that r, the distance of P from O, satisfies the equation
r·· - π2r = 0,
and find a second equation involving N, where Nθ^ is the force the wire exerts on P. [Ignore gravity in this question.] Initially, P is at rest (relative to the wire) at a distance a from O. Find r as a function of t in the subsequent motion, and deduce the corresponding formula for N.
if it is raining steadily at a rate of one inch per hour a container with perpendicular sides and a flat bottom would
1. a system contains water at 4.0 mpa and 275 degc. the phase of water isa liquid onlyb liquid-vapor mixturec vapor
It is claimed that a refrigerator requiring 400 W of power (W) receives heat from cold storage (low temperature source, TL) at 200 K and rejects heat at the rate of 600 W (QH) to an environment at 600 K (high temperature reservoir, TH). Calculate the..
one-half pound of air is contained in a closed rigid insulated tank. initially the temperature is 520degr and the
A fireclay brick cube, 10 cm in length is removed from a furnace where it was maintained at a temperature of 500 degrees C. The brick cube is then placed in ambient temperature conditions.
What is the minimum bit size that is required for each encoder output buffer? If the motion sensor used is an absolute encoder, how many tracks and how many sectors should be present on the encoder disk?
A refrigeration cycle maintains a clean room at 68o F by removing energy entering the room by heat transfer at the rate of 0.21 Btu/s. The cycle rejects energy by heat transfer to the outdoors where the temperature is 80o F. Assume steady state opera..
Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 23kW of shaft power. The free surface of the upper reservoir is 46m higher than that of the lower reservoir. If the flow rater of water is measured to be 0.03m^3/s d..
1. how much pressure is required for a force output of 62275 newtons if the effective piston area of the cylinder is
a certain hydraulic system operates at 20.0 mpa. compute the percentage change in the volume of the oil in the system
State the position and magnitude of the maximum bending moment in the beam.
In the pipe contraction shown in Fig. P3.70, water flows steadily with a velocity of V1 = 0.5 m/s and V2 = 1.125 m/s. Two piezometer tubes are attached to the pipe at sections 1 and 2. Determine the height H. Neglect any losses through the contract..
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