#1
Which of the following is a scalar quantity?
Distance
ExplanationScalar quantities have only magnitude, and distance is the measure of how much ground an object has covered during its motion.
#2
What does the term 'moment of force' refer to?
Torque
ExplanationThe moment of force, or torque, is the measure of the tendency of a force to rotate an object about an axis.
#3
Which of the following is a unit of torque?
Newton-meter
ExplanationTorque is measured in Newton-meters, representing the force applied at a distance.
#4
Which law of motion is associated with the concept of inertia?
Newton's First Law
ExplanationNewton's First Law states that an object at rest will stay at rest, and an object in motion will stay in motion with a constant velocity unless acted upon by a net external force.
#5
What is the center of mass of a system of particles?
Average position of all particles
ExplanationThe center of mass is the point where the system's mass is concentrated; it is the weighted average position of all particles.
#6
In rotational motion, what is moment of inertia?
Distribution of mass around an axis
ExplanationMoment of inertia quantifies the distribution of mass in a rotating object relative to its axis; it involves both mass and distance from the axis.
#7
What is the relationship between torque and angular acceleration?
Torque is directly proportional to angular acceleration.
ExplanationTorque, the rotational force, is directly proportional to the angular acceleration it produces in an object.
#8
In a collision between two objects, what is conserved if there is no external force acting on the system?
Linear momentum
ExplanationIn the absence of external forces, the total linear momentum of a system remains constant during a collision.
#9
What is the condition for rotational equilibrium?
Zero net torque and zero angular velocity
ExplanationA system is in rotational equilibrium when the net torque acting on it is zero, and its angular velocity remains constant.
#10
Which of the following statements is true for a rigid body in translational equilibrium?
Net force and net torque are both zero.
ExplanationTranslational equilibrium occurs when there is no net force or torque acting on a rigid body, resulting in a constant velocity.
#11
What is the relationship between linear velocity and angular velocity in rotational motion?
Linear velocity is directly proportional to angular velocity.
ExplanationLinear velocity and angular velocity are connected by a direct proportionality in rotational motion.
#12
In the context of rigid body dynamics, what is the significance of the parallel-axis theorem?
It simplifies calculations of moment of inertia for an axis parallel to the center of mass.
ExplanationThe parallel-axis theorem simplifies the calculation of the moment of inertia for an axis parallel to the axis through the center of mass.