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.

A mass is hanging from a string, tethered to two points. A horizontal force applied to the mass holds it directly underneath one of the points. Given the magnitude of the force, find the tension in the string and the mass of the bag.

A box is being pushed up a slope by a horizontal force. Calculate the normal reaction force, and the acceleration of the box up the slope.

A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.

Find the weight of a particle when the mass and acceleration due to gravity is known. Using $F=ma$ to find the acceleration of the particle when it is acted on by a resultant force.

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.

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.

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

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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.

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.

Using $F=ma$ to find magnitudes of unknown forces acting on an accelerating body.

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 acceleration, distance moved and magnitude of the normal reaction of a particle being pulled along a rough horizontal plane.

Find the weight of a particle when the mass and acceleration due to gravity is known. Using $F=ma$ to find the acceleration of the particle when it is acted on by a resultant force.

Use the Impulse-Momentum principle to find the change in speed of an object after a constant force is applied for a given period of time.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$ to determine if the block will move when three different magnitudes of force act on the block horizontally.

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.

Ball projected vertically within water of a swimming pool. Find the acceleration, greatest height above the swimming pool floor reached, speed and time. Uses SUVAT equations and $F=ma$.

A box is being pushed up a slope by a horizontal force. Calculate the normal reaction force, and the acceleration of the box up the slope.

A mass is hanging from a string, tethered to two points. A horizontal force applied to the mass holds it directly underneath one of the points. Given the magnitude of the force, find the tension in the string and the mass of the bag.

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.

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To be used on the Mechanics wiki page under Dynamics - maximum frictional force page

To be used on the Mechanics wiki page under Dynamics - Forces.

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