Starting with θ and dt dt a. use calculus to derive the general kinematic equations for motion in polar from part (a) simplify the equations of motion for circular motion from part (b) simplify the equations of motion for uniform circular motion b. c.

To run the physics cart, the fan speed of the cart is manipulated. this is the (blank) variable. the cart accelerates due to the speed of the fan. acceleration is therefore the (blank) variable. a “constant” is a parameter that stays the same regardless of the variables. one parameter of the cart that is held constant is the (blank) .

The free body diagram shows a box being pulled to the left up a 25-degree incline. the magnitude of the normal force is

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.