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At the moment depicted here, this roller coaster car of mass m is at the angular

ID: 2271404 • Letter: A

Question

At the moment depicted here, this roller coaster car of mass m is at the angular position Theta, sliding clockwise at speed v, in a vertical

At the moment depicted here, this roller coaster car of mass m is at the angular position theta, sliding clockwise at speed v, in a vertical "loop-the-loop" maneuver on this circular track of radius r, which has a kinetic friction coefficient mu K with the car. Find an expression for the net force (both magnitude and direction) acting on the car. You may consider these values as known: m, theta, v, r, mu k, g.

Explanation / Answer

Net force normally = (mv^2/r - mgsin(theta))

Net force tangentially = mgcos(theta) - (uk)*(mv^2/r - mgsin(theta))

Net force = sqrt((mv^2/r - mgsin(theta))^2 + (mgcos(theta) - (uk)*(mv^2/r - mgsin(theta)))^2)