What is the formula for calculating kinetic energy?
A 1/2 mv²
B mgh
C F × d
D 1/2 kx²
Kinetic energy is the energy possessed by a body due to its motion. The formula is KE = 1/2 mv², where m is mass and v is velocity. It is measured in Joules (J).
Which of the following is a characteristic of static friction?
A Acts on moving objects
B Greater than kinetic friction
C Always equal to applied force
D Independent of surface area
Static friction is the force that resists the initiation of motion and is generally greater than kinetic friction, which acts on moving objects. It depends on the nature of the surfaces in contact.
What is the unit of moment of force (torque)?
A Joule
B Newton-meter
C Pascal
D Watt
Torque is the rotational equivalent of force and is calculated as force multiplied by the perpendicular distance from the pivot point. Its unit is Newton-meter (N·m).
Which of the following is true for a particle in uniform circular motion?
A Velocity is constant
B Acceleration is zero
C Centripetal force acts inward
D Tangential force acts outward
In uniform circular motion, the direction of velocity changes continuously, causing centripetal acceleration. The centripetal force acts inward toward the center of the circular path.
What is the formula for calculating potential energy?
A 1/2 mv²
B 1/2 kx²
C F × d
D mgh
Potential energy is the energy stored in an object due to its position or height. The formula is PE = mgh, where m is mass, g is gravitational acceleration, and h is height.
What is the angle between two concurrent forces for their resultant to be minimum?
A 0°
B 90°
C 180°
D 45°
The resultant of two forces is minimum when they act in opposite directions (180°). The resultant is then the difference between the magnitudes of the two forces.
Which of the following is a type of force system?
A Coplanar
B Concurrent
C Parallel
D All of the above
Force systems can be classified as coplanar (forces in the same plane), concurrent (forces meeting at a point), or parallel (forces parallel to each other).
What is the formula for impulse?
A Force × Time
B Mass × Velocity
C Force × Distance
D Mass × Acceleration
Impulse is the product of force and the time over which it acts. It is equal to the change in momentum of an object (J = F × t).
Which of the following is true for a rigid body in equilibrium?
A Net force is zero
B Net torque is zero
C Both a and b
D Net force is non-zero
For a rigid body to be in equilibrium, both the net force and net torque acting on it must be zero. This ensures no translational or rotational motion.
What is the unit of angular velocity?
A Radian/second
B Meter/second
C Newton-meter
D Joule
Angular velocity is the rate of change of angular displacement and is measured in radians per second (rad/s). It describes how fast an object rotates.
Which of the following is true for a simply supported beam?
A Fixed at both ends
B Hinged at one end and roller at the other
C Fixed at one end and free at the other
D Fixed at both ends with a hinge
A simply supported beam has a hinge support at one end and a roller support at the other. This allows rotation and horizontal movement at the supports.
What is the formula for stress?
A Force × Distance
B Mass × Acceleration
C Force / Volume
D Force / Area
Stress is defined as the internal resistance force per unit area within a material. It is calculated as σ = F/A, where F is force and A is area.
Which of the following is true for a truss structure?
A It consists of beams and columns
B It is made of pin-jointed members
C It is used only for vertical loads
D It cannot carry tension
A truss is a structure composed of straight members connected at joints, typically assumed to be pin-jointed. It is designed to carry loads efficiently.
What is the formula for strain?
A Force / Area
B Mass × Acceleration
C Change in length / Original length
D Force × Distance
Strain is the ratio of the change in length to the original length of a material. It is dimensionless and measures deformation under stress.
Which of the following is true for a free-body diagram?
A It shows only external forces
B It includes internal 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.