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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).
the fluid viscosity u at any point in the boundary layer depends on the distance y of the point above the surface the
the concrete slab of the basement is 11 m long 8 m wide and 0.20 m thick. during the winter temperatures are nominally
Determine the angular velocity of the two 10-kg rods in Fig. 2 when , if they are released from rest in the position . Neglect friction.
The velocity at the inlet is controlled so that it changes according to the following expression. V=a-ct^2, where a = 20m/s, c- 0.8m/s. If the tank initially contains 3kg of liquid water, determine the final mass at the end if 4 seconds of flow.
a certain ceramic has a fracture toughness of kic of 5 mnm32. a batch of samples of this material contains surface
what is metric chain
in an overhead smash a tennis player strikes the ball with the center of the head of the racquet. say the contact
Energy in the home, personal energy use and home energy efficiency and Efficient use of ‘waste' heat and renewable heat sources
a paint mixture containing 25.0 wt of a pigment and the balance water sells for 18.00kg and a mixture containing 12.0
a frictionless piston-cylinder device fitted with stops above the piston contains 1.2 kg of air at 200degc and 700 kpa.
one pound-mass of air at 10 psia 70 of is contained in a piston-cylinder device. the air is now reversibly compressed
consider an aorta that has a circular cross section with a diameter of 5mm and a length of 10cm. assume that the
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