A conical pendulum is formed by attaching a ball of mass m to a string of length L then allowing the ball to move in a horizontal circle of radius r. The string traces out the surface of a cone. A. Find an expression for the tension T in the string.

B. Find an expression for the ball's angular speed w.

I am more interested in how to get the the answer.

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)