What is the formula for calculating the moment of a force?
A Force × Distance
B Force / Distance
C Force × Time
D Force / Time
The moment of a force (torque) is calculated as the product of the force and the perpendicular distance from the pivot point (M = F × d). It is measured in Newton-meters (N·m).
Which of the following is true for a couple?
A It has zero moment
B It consists of two equal and opposite forces
C It produces translational motion
D It acts on a single point
A couple is a pair of equal and opposite forces that are parallel but not collinear. It produces rotational motion without any translational motion.
What is the principle of hydrostatics?
A Pressure increases with depth
B Pressure decreases with depth
C Pressure is constant at all depths
D Pressure depends only on volume
In hydrostatics, pressure increases with depth due to the weight of the fluid above. The pressure at a depth h is given by P = ρgh, where ρ is fluid density and g is gravitational acceleration.
What is the mechanical advantage of a pulley system?
A Length of the rope
B Number of ropes supporting the load
C Weight of the pulley
D Diameter of the pulley
The mechanical advantage (MA) of a pulley system is equal to the number of ropes supporting the load. It indicates how much the system amplifies the input force.
Which of the following is a property of a material under load?
A Density
B Viscosity
C Elasticity
D Conductivity
Elasticity is the property of a material to return to its original shape after the removal of an external load. It is a key factor in material behavior under stress.
What is the centroid of a triangle?
A Intersection of altitudes
B Intersection of angle bisectors
C Intersection of medians
D Intersection of perpendicular bisectors
The centroid of a triangle is the point where its three medians intersect. It is the geometric center and the balance point of the triangle.
What is the formula for calculating acceleration?
A Change in velocity / Time
B Distance / Time
C Mass × Velocity
D Force × Distance
Acceleration is the rate of change of velocity with respect to time. It is calculated as a = Δv / t, where Δv is the change in velocity and t is time.
Which of the following is true for particle dynamics?
A It considers rotational motion
B It ignores Newton’s laws
C It studies motion of point masses
D It applies only to rigid bodies
Particle dynamics focuses on the motion of point masses (particles) under the influence of forces. It uses Newton’s laws to analyze translational motion.
What is the formula for calculating work done by a force?
A Force × Distance
B Mass × Acceleration
C Force × Time
D Force × Displacement × cos(θ)
Work done by a force is calculated as W = F × d × cos(θ), where F is force, d is displacement, and θ is the angle between force and displacement.
Which of the following is true for rigid body mechanics?
A It considers deformation
B It ignores rotational motion
C It assumes no change in shape
D It applies only to fluids
Rigid body mechanics assumes that the body does not deform under load. It analyzes both translational and rotational motion using equilibrium and dynamics principles.
What is the formula for calculating pressure in a fluid?
A Force / Area
B Density × Gravity × Height
C Mass × Acceleration
D Force × Distance
Pressure in a fluid at a depth h is given by P = ρgh, where ρ is fluid density, g is gravitational acceleration, and h is depth.
Which of the following is a simple machine?
A Engine
B Inclined plane
C Turbine
D Generator
An inclined plane is a simple machine that reduces the effort needed to lift a load by increasing the distance over which the force is applied.
What is the formula for calculating the center of gravity of a body?
A Sum of forces / Total mass
B Sum of distances / Total volume
C Sum of areas / Total length
D Sum of moments / Total weight
The center of gravity (CG) is calculated as the sum of the moments of individual weights divided by the total weight of the body. It is the point where the weight is balanced.
Which of the following is true for motion analysis?
A It studies displacement, velocity, and acceleration
B It ignores Newton’s laws
C It applies only to rotational motion
D It ignores time
Motion analysis involves studying the displacement, velocity, and acceleration of objects over time. It uses kinematic equations to describe motion.
What is the formula for calculating the efficiency of a machine?
A (Input work / Output work) × 100
B (Output force / Input force) × 100
C (Input force / Output force) × 100
D (Output work / Input work) × 100
Efficiency is the ratio of output work to input work, expressed as a percentage. It measures how effectively a machine converts input energy into useful output work.