A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Selection of Quadratic Equations to Solve

Selection of Quadratic Equations to Solve

Solve $\displaystyle{ax ^ 2 + bx + c=0}$ by factorisation. 

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Selection of Quadratic Equations to Solve

Selection of Quadratic Equations to Solve

This exercise will help you solve equations of type ax-b = c.

Solve a first order algebraic equation

Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Solve $p - t < \text{or}> q$

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ direction but the positive $y$. 

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.

Solve a pair of linear equations by writing an equivalent matrix equation.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

This exercise will help you solve equations of type ax-b = c.

Selection of Quadratic Equations to Solve

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Three forces act on a particle. You're given the magnitude of one, and the directions of all three. Find the magnitudes of the other two forces.

Solve a logarithmic expression for an unknown $x$

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Solve a first order algebraic equation

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Solve $p - t < \text{or}> q$