A mass (m = 3 kg) is connected to a spring of constant k (k = 50 N/m), where the

Question

A mass (m = 3 kg) is connected to a spring of constant k (k = 50 N/m), where the mass is connected at the top to a spring on a fixed incline. The coefficient of static friction between the mass and the incline is µ(subscript s) = 0.6 and the angle that the incline makes with the horizontal is ? = 20º. The mass is initially held in place so that the spring is at its natural length.

By what maximum amount can the mass be pushed down the incline and released and still have the mass in static equilibrium? Write your final answer as x(subscript s) = ___ centimeters.

Explanation / Answer

mgcos=kx2

x=[mgcos/k]=[.6(3)(9.8)cos20/50]

x=.57578m= 57.578 cm

Hope that helps

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