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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.
A long copper wire, 0.8 cm in diameter, is suddenly exposed to an air stream at a temperature of T? = 37°C. The thermal conductivity of the wire is k = 400 W/(m*K), the density is ? = 8900 kg/m3, and the heat capacity is cp= 385 J/(kg*K). If the conv..
at the beginning of the compression stroke the volume of a certain diesel engine cylinder is 1 liter and it is filled
water at 24 degree c flows at 0.8 ms in a smooth 1.5 cm i.d tube that is kept at 27 degree c. the system is extremely
a boiler shell is 1.5m in diameter and has plates of thickness 10mm. if the efficiency of the longitudinal joint is 80
The actual (irreversible) components of a small Brayton cycle gas-turbine engine are shown. The cycle pressure ratio is 15 and the maximum turbine temperature is 1600 K. The turbine and the compressor are insulated and have isentropic efficiencies of..
Draw a sketch showing all features of interest and identify the kind of analysis to be performed (e.g. bending, deflection, etc.)
a cyclic steam power plant is to be designed for steam temperature at inlet of 360 and an exhaust pressure of 0.08 bar.
Find the equation of motion of the uniform rigid bar and Will the force transmitted to the base of a spring mounted machine decrease with the addition of viscous damping?
the collar a is free to slide along the smooth shaft b mounted in the frame. the plane of the frame is vertical.
an ideal brayton cycle with regeneration has a pressure ratio of 10. air enters the compressor at 300k and the turbine
a fan is used to accelerate quiescent air to a velocity to 12ms at a rate of 3m3min. if the density of air is 1.15kgm3.
the 65-mm diameter steel shaft is subjected to the two loads that act in the directions shown. if the journal bearings
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