What is the formula for calculating the mechanical advantage of a pulley system?
A Length of the rope
B Diameter of the pulley
C Number of ropes supporting the load
D Weight 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 true for a beam fixed at both ends?
A It is called a simply supported beam
B It restricts rotation and translation at both ends
C It allows rotation at both ends
D It has a roller support at one end
A beam fixed at both ends restricts both rotation and translation at the supports. It is commonly used in structures where high rigidity is required.
What is the formula for calculating the angular velocity?
A Change in angular displacement / Time
B Force × Distance
C Mass × Acceleration
D Force / Area
Angular velocity (ω) is the rate of change of angular displacement with respect to time. It is calculated as ω = Δθ / t, where Δθ is the change in angular displacement.
Which of the following is true for a truss structure?
A It carries bending moments
B It carries only axial loads
C It is made of curved members
D It cannot carry tension
A truss structure consists of straight members connected at joints, and it carries only axial loads (tension or compression). It is designed to be lightweight and efficient.
What is the formula for calculating the coefficient of friction?
A Frictional force / Normal force
B Normal force / Frictional force
C Mass × Acceleration
D Force × Distance
The coefficient of friction (μ) is the ratio of the frictional force to the normal force. It is a dimensionless quantity that depends on the nature of the surfaces in contact.
Which of the following is true for a free-body diagram?
A It includes internal forces
B It shows only external forces
C It is used only for beams
D It ignores equilibrium
A free-body diagram (FBD) is a graphical representation of all external forces acting on a body. It is used to analyze forces and moments in equilibrium problems.
What is the formula for calculating the center of mass?
A Sum of forces / Total mass
B Sum of moments / Total mass
C Sum of distances / Total volume
D Sum of areas / Total length
The center of mass (COM) is calculated as the sum of the moments of individual masses divided by the total mass. It is the point where the mass is balanced.
Which of the following is true for a rigid body?
A It is only used in fluid mechanics
B It cannot rotate
C It deforms under load
D It has no deformation under load
A rigid body is an idealized object that does not deform under load. It is used in mechanics to simplify the analysis of motion and equilibrium.
What is the formula for calculating the angular momentum?
A Mass × Velocity × Radius
B Force × Distance
C Mass × Acceleration
D Force / Area
Angular momentum (L) is the rotational equivalent of linear momentum. It is calculated as L = m × v × r, where m is mass, v is velocity, and r is the radius of rotation.
Which of the following is true for a simply supported beam?
A It has a hinge support at one end and a roller at the other
B It has fixed supports at both ends
C It cannot carry bending moments
D It is used only for vertical loads
A simply supported beam has a hinge support at one end and a roller support at the other. It allows rotation and horizontal movement at the supports.
What is the formula for calculating the strain energy?
A Force / Area
B Force × Distance
C Mass × Acceleration
D (1/2) × Stress × Strain × Volume
Strain energy is the energy stored in a material due to deformation. It is calculated as
U = (1/2) × Stress × Strain × Volume, where stress and strain define the internal resistance to deformation.
Which of the following is true for a pulley system?
A It decreases the input force
B It increases the input force
C It changes the direction of force
D It has no mechanical advantage
A pulley system is used to change the direction of the applied force. It can also provide a mechanical advantage
depending on the number of pulleys used.
What is the formula for calculating the mechanical advantage of a lever?
A Effort arm / Load arm
B Load arm / Effort arm
C Force × Distance
D Mass × Acceleration
The mechanical advantage (MA) of a lever is the ratio of the effort arm to the load arm. It indicates how much
the lever amplifies the input force.
Which of the following is true for a centroid?
A It is the geometric center of an area
B It is the balance point of a body
C It is the same as the center of gravity
D All of the above
The centroid is the geometric center of an area, the balance point of a body, and is often the same as the
center of gravity for uniform density objects.
What is the formula for calculating the work-energy principle?
A Work done = Change in potential energy
B Work done = Change in kinetic energy
C Work done = Force × Distance
D Work done = Mass × Acceleration
The work-energy principle states that the work done on an object is equal to the change in its kinetic energy.
It is expressed as W = ΔKE.