An amutement park ride called The Swing consits of a chair hanging from 4 5 m \'

Question

An amutement park ride called The Swing consits of a chair hanging from 4 5 m 'long chain the top of the chain is attached to a rotating spindle when "de is in motion, the chair moves in a horizontal circle and the cham makes an angle of 25.0degree with the vertical (see diagram). If a rider experiences a radial acceleration of 3g what is the ride's period? 9) In the diagram at right. M_1 - 5.55 kg, M_2 - 2.33 kg M A What is the minimum coefficient of static friction n such that the system is in equilibrium? B) What is the maximum value for M_2 so that equilibrium is still possible? 10) A car of mass M goes around an unbanked curve of radius R. Find the maximum velocity the car can have and still stay on the road. 11) In the diagram at right, a mass M = 17.5 kg is hanging from two cables as shown. Find the tension in each cable. theta = 35.0degree. = 44.0degree

Explanation / Answer

The centripetal force acting on the car is, F = Rv^2 /R

The frictional force between the car and road is , f = mu * M *g

when the car taking a curve frictional force balances the centripetal force.

            mu * M *g = Mv^2 / R

            mu * g = v^2 / R

Solve for v

   v = sqrt (  mu * g*R)

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