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a cart and a bucket are connected by a strong, lightweight cable over a massless, frictionless...

a cart and a bucket are connected by a strong, lightweight cable over a massless, frictionless pulley. The coefficient of static friction between the cart and the ramp is 0.30 and the coefficient of kinetic friction between the cart and the ramp is 0.15
The cart weight 750kg and the angle between the ramp and the ground is 15 degrees.
If the system is initially at rest, what is the greatest mass that the bucket can be, so that the cart remains stationary?
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