A crate of mass MM starts from rest at the top of a frictionless ramp inclined at an angle αα above the horizontal. Find its speed at the bottom of the ramp, a distance dd from where it started. Do this in two ways. Why did the normal force not enter into your solution?

The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a cross-sectional area of 450 mm2, determine the maximum value of p if the allowable stress is (σallow)st = 200 mpa for the steel and ( σallow)al = 150 mpa for the aluminum. est = 200 gpa and eal = 70 gpa.

Need asap ‼️ 20 pts which gravitational force field diagram is drawn correctly? (answers in pictures below)

One object has a mass of 1 kg and another object has a mass of 3 kg. if the speeds are the same, which of the following is true about their kinetic energy?