A 1500-kg automobile starts from rest at point A on a 6 incline and coasts through a distance of 150 m to point B. The brakes are then applied, causing the automobile to come to a stop at point C, 20 m from B. Knowing that slipping is impending during the braking period and neglecting air resistance and rolling resistance, determine (a) the speed of the automobile at point B, (b) the coefficient of static friction between the tires and the road.

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The carnival ride from Prob 12.51 is modified so that the 80-kg riders can move up and down the inclined wall as the speed of the ride increases. Knowing that the coefficient of static friction between the wall and the platform is 0.2, determine the range of values of the constant speed v0 for which the platform will remain at h = 1.5 m.Reference to Problem 12.51:

A spring is used to stop a 50-kg package which is moving down a 20° incline. The spring has a constant k =34 kN/m and is held by cables so that it is initially compressed 50 mm. Knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest. Assume that the kinetic coefficient of friction between the package and the incline is 0.2. 2 m/s 50 kg 8m Cable 20° The maximum additional deformation of the spring in bringing the package to rest is 0.574 x m.

(2) A 5 lb ball is attached to a 3 ft long rope and it rotates in a vertical circular path at a constant tangent velocity of 30 ft/s. (a) Determine the tension in the rope when the ball is at point A. (b) Determine the tension in the rope when the ball is at point B. B 3 ft A

Need some guidance please...TIA