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Using the Lagrangian approach outlined in class (or whatever your favorite method is) derive the coupled dierential equations for a quadruple pendulum with unequal masses and lengths. Solve the equations (either analytically or numerically) and plot the vibration isolation transfer function (motion of the bottom mass as a function of motion of suspension point) for:(a) the simple case (m1 = m2 = m3 = m4 = m and L1 = L2 = L3 = L4 = L). Assume m = 10kg and L = 1m
Fairgoers ride a Ferris wheel with a radius of 4.35m, the bottom of which is 1.75m from the ground. The wheel completes one revolution every 30s. A passenger drops his keys when he is three quarters of the way up and at the 10 o'clock position. Wh..
A horizontal 790-N merry-go-round of radius 1.60 m is started from rest by a constant horizontal force of 55 N applied tangentially to the merry-go-round
Consider the skateboarder in the figure below. If she has a mass of 49 kg, an initial velocity of 23 m/s, what is the work done by friction on the skateboarder
Two charges are separated by a distance d and exert mutual attractive forces F on each other. what are the new mutual forces
A trunk of mass m = 1.800 kg is pushed a distance d = 185 cm up an incline with an angle of inclination theta = 25.0 ° by a constant horizontal force P = 300. N, Calculate the work done on the trunk by the frictional force
A daredevil decides to jump a canyon. Its walls are equally high and 10 m apart. What minimum speed must he have in order to clear the canyon
Compare the distance he wanted to cover in the real world with the "theoretical" distance that could be covered if there was no air resistance - If the engine was close to 100% efficient how much petrol would be used to overcome air resistance duri..
One mole of an ideal diatomic gas is heated from a temperature of 22 degrees C to a temperature of 95 degrees C. How much heat in joules must be supplied if the volume is kept constant during heating?
a 142 kg crate is placed on an inclined ramp. When the angle the ramp makes with the horizantal is increased to ALPHA, If the coefficient of static friction between the crate and the ramp is 0.65, what is the angle alpha when the crate just begins t..
A 1.0cm * 1.0cm parallel-plate capacitor has a 2.0mm spacing. The electric field strength inside the capacitor is 1.3*10^5 V/m, What is the potential difference across the capacitor
A 35kg child slides down a playground slide at aconstant speed, The slide has a height of 4.0mand is 7.4m long, find the magnitude of the kinetic friction force acting on the child
At 20C and 750 torr pressure, the mean free paths for argon gas(Ar) and nitrogen gas(N) are lambdaAr = 9.9 x 10^-6 cm, What is the mean free path of argon
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