Exploring Engineering Mechanics

What is the condition for a particle to be in static equilibrium?

• The particle must be accelerating in a circular path.

• The net force must be non-zero while torque is zero.

• The net force and net torque must both be zero.

• The particle must be in motion.

Define the concept of a free body diagram.

• A free body diagram is a visual tool that depicts all the forces acting on a single object.

• A free body diagram illustrates the trajectory of an object over time.

• A free body diagram shows the motion of multiple objects in a system.

• A free body diagram is a type of graph used to represent energy levels.

How do you calculate the resultant force acting on a particle?

• R = √(Fx² + Fy²), θ = arctan(Fy/Fx)

• R = Fx - Fy, θ = 90°

• R = Fx * Fy, θ = sin(Fy/Fx)

• R = Fx + Fy, θ = 0

What are the two types of equilibrium in structures?

• Static stability and dynamic stability

• Static balance and dynamic balance

• Static equilibrium and dynamic equilibrium

• Static force and dynamic force

Explain the role of support reactions in structural equilibrium.

• Support reactions do not influence the overall stability of a structure.

• Support reactions are essential for maintaining structural equilibrium by counteracting external loads and ensuring stability.

• Support reactions are only necessary for static structures.

• Support reactions are irrelevant when considering internal forces.

What is the coefficient of friction and how is it determined?

• The coefficient of friction is the weight of an object divided by its surface area.

• The coefficient of friction is a measure of the frictional force between two surfaces, determined by the ratio of the frictional force to the normal force.

• The coefficient of friction is a constant value that does not change with different materials.

• The coefficient of friction is determined by the temperature of the surfaces in contact.

Describe the difference between static friction and kinetic friction.

• Static friction applies to all types of surfaces regardless of motion.

• Static friction prevents motion between stationary surfaces, while kinetic friction acts on moving surfaces.

• Kinetic friction is stronger than static friction.

• Static friction only occurs on inclined surfaces.

How does the angle of inclination affect the motion of an object on an inclined plane?

• The angle of inclination increases the acceleration of an object down the plane.

• The angle of inclination only affects the object's mass.

• The angle of inclination has no effect on the object's speed.

• A steeper angle decreases the friction on the plane.

What is the significance of the moment of a force about a point?

• The moment of a force only affects linear motion.

• The moment of a force is irrelevant to motion.

• The moment of a force measures its speed.

• The moment of a force indicates its ability to cause rotational motion about a point.

How can friction be minimized in mechanical systems?

• Use heavier materials

• Add more weight to the system

• Increase surface roughness

• Use lubricants and bearings, select low-friction materials, and ensure smooth surfaces.