In the situation shown in image, let u be the angle of the slope and suppose there is friction between the cart and the track. You find that if the cart and bucket each have the same weight w, they remain at rest when released. In this case, what is the magnitude of the friction force on the cart? Is it less than, greater than, or equal to w

Dear, Can you please give me the solution to this question and provide it with side drawings and explanations to understand the solution better? Thank you in advance!!

A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m1 = 2.00 kg, m2 = 7.65 kg, and ? = 49.0°. A triangular structure is oriented such that its base rests upon a horizontal surface, its left side is perpendicular to its base, and its right side forms an incline of angle ?. A pulley is attached to the structure's apex. Two objects are connected by a cord that passes over the pulley. A circular object labeled m1 is attached to the to the left end of the cord and hangs freely. A rectangular object labeled m2 is attached to the end of the cord and rests upon the incline. (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? _____m/s2 (b) What is the tension (in N) in the cord? (Enter the magnitude.) ____N (c) What is the speed (in m/s) of each object 2.25 s after being released from rest? ____m/s   (d)What If? If the incline under m2 is rough, what is the minimum value…

1. A horizontal force, F, pushes a block of mass m against a vertical wall. The coefficient of static friction, μs, is given. Find the minimum horizontal force where the block will just begin to slip.