PHYS 131 Lecture : Vectors in physics

Decompose the force vector F_vec into radial (i.e., parallel to r_vec) and tangential (perpendicular to r_vec) components as shown. Find the magnitude of the radial and tangential components, F_r and F_t. You may assume that theta is between zero and 90 degrees.

The figure represents the total acceleration of the particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant Find out the radial and tangential acceleration of the particle.

A horizontal disk with a radius of 10 cm rotates about a vertical axis through its center. The disk starts from rest at t = 0 and has a constant angular acceleration of 2.1 rad/s^2. At what value of t will the radial and tangential components of the linear acceleration of a point on the rim be equal in magnitude?