1000 lb trunch the black resting on the incline plan has a mass of 60g. determine maximum and minimum value of P for which the block is in equilibrium. (fs = 0.35)
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A double-notched specimen with dimensions of h = 10cm, w = 3cm, and a thickness of t = 2mm is subjected to a load of P = 32kN. The material has a Youngβs modulus of 180 GPa and Poissonβs ratio of v = 0.42
a) Determine the energy release rate for a crack length of a = 4mm
b) Does this satisfy the conditions for plane strain? Is the assumption of LEFM valid?
[4 Marks]
c) Determine the minimum dimensions and crack length to satisfy the conditions of both plane
strain and LEFM.
the position of the 4 kg collar C on the smooth rod AB is held at r=0.72 m and L=0.3 m , determine the constant angular velocity (Theta) at which the mechanism is rotating about the vertical axis. The spring with k= 219 N/m has an unstretched length of 0.4 m. Neglect the mass of the rod and the size of the collar.
Angular Velocity (Theta) (in rad/s)
Answer
1. Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20 β to 240 β if the specific heat of brass is 394 J.kg-K.
2. Find the change in temperature produced by 10 kJ of heat energy added to 500 g copper. Specific heat of copper 0.39 kJ/kg-K.
3. Explain why, for a gas, the specific heat at constant volume has a different value from the specific heat at constant pressure.An ideal gas is contained in a cylinder fitted with a piston. Initially the temperature of the gas is 15β. If the mass of the gas is 0.035 kg, calculate the quantity of heat energy required to raise the temperature of the gas to 150 β when:(a) The piston is fixed;(b) The piston moves and the pressure is constant.For the gas, ππ£ = 676 J/kg-K and ππ = 925 J/kg-K.