# Pendulum Kinetics#

A pendulum submerged in a fluid with the bob initially held at an angle of $$\theta^{\circ}$$ degrees measured from below the horizontal, is released from rest as illustrated below.

## Part 1#

If in addition to the tension in the string and weight of the bob, a buoyant force of constant magnitude and direction acts on the bob according to the equation; $$F\_{b}=\rho g V$$, where $$\rho$$ is the fluid density, $$V$$ is the volume of fluid displaced, and $$g$$ is the gravitational acceleration. Determine the work-done by the buoyant force on the bob when it reaches point B as shown below.
$$\theta = {{ params_theta }}^{\circ}$$, $$L = {{ params_l }} \ \rm{m}$$, $$V\_{bob} = {{ params_v }} \ \rm{m^3}$$, $$\rho = {{ params_p }}\ \rm{kg.m^{-3}}$$.

Please enter in a numeric value in $$\rm{N.m}$$.

## Part 2#

Determine the speed of the bob at point B.
$$m = {{ params_m }} \ \rm{kg}$$.

Please enter in a numeric value in $$m/s$$.

## Part 3#

Determine the maximum tension force in the string through the pendulum motion.

Please enter in a numeric value in $$N$$.

## Part 4#

Determine the centripetal force in the string at point B.

Please enter in a numeric value in $$N$$.