What is the lagrange's equation of spherical pendulum?
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What is the lagrange's equation of spherical pendulum?

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- 5). The motion of a particle is defined by the follouing equations: ex = x-2y and dt dy =5x-y with x(0)=2 and yco) =-1 dt a. Find x(t) and yit) b. If xlt) and yct) are perniodic, find their amplitudes and peiods. Co which apaph represents the moton best? 3. う人 フイ NIETHER A 2.Consider a simple pendulum of length L with a mass m. Derive the angular frequency of oscillation for the pendulum when it is displaced by a small angle. Assume it is in a gravitational field with the magnitude of acceleration due to gravity equal to g. (That is, you need to find MOI and d for a simple pendulum and then use the equation for ω for a simple pendulum.)You will fire the spring gun 3 times from the first detent and measure the change in height of the (pendulum + ball) for each shot. Write the equation for the change in height of the first shot.