A cylinder of unknown mass m is attached to a cord that is wrapped around a 3 kg pulley shaped as a hoop. The pulley-cylinder system is initially at rest. Once the cylinder is released, the linear acceleration of the pulley is 2m/s^2. Assume the axle of the pulley to be frictionless. The moment of inertia for a hoop is mr^2. Calculate the unknown mass of the cylinder m and calculate the force of tension

Unpolarized light falls on two polarizer sheets whose transmission axes are at right angles. a third polarizer is placed between the first two so that its axis makes a 52-degree angle with the axis of the first polarizer. a) what fraction of the incident light intensity is transmitted through the first polaroid? b) what fraction of the incident light intensity is transmitted through the second polaroid? c) what is the angle of polarization of the light that enters the third polaroid? d) what fraction of the incident light intensity is transmitted through the third polaroid. e) what happens if the middle polaroid is removed?