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For a pendulum in a gravity field with point mass m and length L from mass to the pivot, derive the nonlinear equation of planar motion if theta is measured from the vertical (i.e., the equilibrium position theta_o = 0). Find the linear equation of motion that describes small oscillations about this equilibrium state. Repeat this problem (find both the nonlinear and linear equations of motion) for the same pendulum, but where theta is now measured from the horizontal (i.e., theta_o = 90 degrees = pi/2).
determine the average applied force exerted on to the pile hammer. Note because the force is applied over a short time period it can be considered as an impulse force.
steam at 7 bars and temperature t enters an adiabatic mixing tank. compressed water at 40 c and 7 bars enters at
sea-level air is drawn from the atmosphere through a duct and into a vacuum tank. if the air remains a perfect gas at
1 kg of water executes a cycle in a piston cylinder assembly starting out at high t 300 deg c and high p 15 mpa. the
boron has a much lower coefficient of thermal expansion than aluminum even though both are in the 3 b column of the
an engine operates on an air-standard brayton cycle with reheat. the work required to compress the air in one stage
air is contained in a vertical cylinder fitted with a frictionless piston and two sets of stops. the volume is 0.5m3
a balloon behaves so the pressure is p c2v13 c2 100 kpam. the balloon is blown up with air from a starting volume of
An airplane flies at 400 mph at 1600 ft altitude on a standard day. The plane climbs to 50,000 ft and flies at 725 mph. Calculate the Mach number of flight in both cases.
a basketball of mass 0.570 kg is dropped from rest from a height of 1.25 m. it rebounds to a height of 0.734 m. a how
the question is during the compression of 0.6 kg of gas in a cylinder an amount of work equal to 80 kj is supplied to
a crate containing 40 bricks each of mass 1.3kg is placed on a storage framework as shown.a calculate the reaction
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