Physics: Cart with spring, centre of mass
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The figure shows a cart and spring. The mass of the cart is presently unknown. However, the solution of the equations of motion of the center of mass is (see attachment). If the spring constant is 503 N/m what is the mass of the cart? Also calculate the location of the center of mass at t = 0.23 seconds, and the velocity of the cart at t=0.
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Solution Summary
This solution contains step-by-step calculations to determine the mass of the cart and the location of the centre of mass.
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x(t) = 0.06 cos (37t + pi/3)
dx/dt = -0.06 sin (37t + pi/3). 37
dx/dt = velocity = -0.06 sin (37t + pi/3). 37 .......... (1)
v = - 0.06 sin (37*0 + pi/3). 37 ... v at t=0
v = -0.06 sin 60 . (37)
v = -0.06*(37). sin ...
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