# A free fall of a material point

A free fall of a material point is being examined. In order to find the solution of the considered example formulas for an accelerated motion and kinetic and potential energy in the gravitational field are used.

$$v = v_0 + a \cdot t$$
$$s = v_0 \cdot t + \frac{a \cdot t^2}{2}$$
$$E_k = \frac{m \cdot v^2}{2}$$
$$E_p = m \cdot g \cdot h$$

A free fall of a material point

# Equilibrium equations

Beam is hanged to the ceiling via two ropes. Masses of ropes are so small that it is possible to omit them in computation. Beam has mass m[kg]. Force F[N] is placed in specified beam’s point. Static equilibrium equations for system have to be calculated. Reaction forces in ropes also have to be calculated. Beam is in gravity field. Beam has length 8·a. Gravity force which works on beam has to be placed in beam’s gravity center C.

# Oblique throw – motion equation

Material point is thrown with start velocity v0. Between ground plane and vector of velocity v0 is an angle α. Material point is inside gravity field described by gravity acceleration g. Vector of gravity acceleration g is perpendicular to ground plane. It is assumed that move takes place in vacuum. It means that there is no air resist. Subject of example is to find equation of trajectory and value of angle which will provide maximal range of throw.

# Mechanics dynamics examples

Dynamics is a field of mechanics in which causes of motion and working forces are examined. Plenty of examples from mechanics dynamics are on link below.

Dynamics example exercises