Advanced dynamics and mechanical vibration

Advanced dynamics. See attached file for full problem description.

Advanced dynamics

Advanced dynamics. See attached file for full problem description.

Advanced dynamics

Advanced dynamics. See attached file for full problem description.

Relative Velocity

I have attached a picture of the situation. Small Wheels attached to the ends of rod AB roll along two surfaces. Knowing that at the instant shown the velocity vA of wheel A is 1.5 m/s to the right and the relative velocity vB/A of wheel B with respect to wheel A is perpendicular to rod AB, determine the relative velocity vB/A and velocity vB of wheel B. I understand that vA+vB/A =vA. I know that the component of vA is 1.5m/s in the x direction. The problems that we have done were all with right angles. I know another way to figure out the problem is to draw the vectors but we don't have all the angles. I can't seem to figure out how to find the angle that the rod AB makes w/ the x-... click for more

Find velocity and distance traveled after 4 sec

A bullet is fired into water with an initial velocity of 60m/s. acceleration = -0.4v^3 m/s^2. Find the velocity of the bullet and the distance it has traveled into the water after 4 seconds. Please show detailed step by step process to solution.