Exam (elaborations)
XI Physics New Chap 6 Systems of Particles and Rotational Motion.
XI Physics New Chap 6 Systems of Particles and Rotational Motion.
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XI Physics_New Chapter-6_System of Particles and Rotational Motion_[True or False Statement Questions]Sl # Statements [HOTS TEST] Find out the truth in them, if any. True/False
Angular momentum of a particle changes spontaneously without any torque acting on it,
1
unlike Newton's second law for translational motion.
Center of gravity coincides with the center of mass when the gravitational field is uniform
2
within the body.
Conservation of angular momentum applies even when external torque is non-zero, as long
3
as internal forces balance it out, allowing for variable angular momentum.
Equal torques on a hollow cylinder and solid sphere result in the solid sphere rotating faster
4
due to its higher moment of inertia.
Even with external forces, the center of mass moves uniformly in a straight line if the
5
internal forces within a system of particles are balanced.
Flywheels with minimal moment of inertia are preferred in machines to provide smooth and
6
gradual changes in rotational speed.
For two particles of equal mass, the center of mass is never exactly midway between them,
7
challenging the conventional understanding of center of mass calculation.
In a binary star system without external forces, the center of mass remains stationary,
8
causing the stars to move in erratic orbits due to gravitational interactions.
In a lever, mechanical advantage is determined solely by the length of the load arm,
9
neglecting the influence of the effort arm and load weight.
In a perfectly rigid body with no internal motion, work done by external torques decreases
10
kinetic energy, contrary to the expected increase as defined by P = τω.
In a perfectly rigid body with no internal motion, work done by external torques increases
11
the body's kinetic energy, but a portion of this energy is dissipated as heat.
In a uniform gravitational field, the center of gravity (CG) and the center of mass (CM) are
12
always at the same location.
In physics, the motion of a rigid body can only be pure translation, and rotation is never
13
involved, regardless of whether it is pivoted or fixed.
In rotation about a fixed axis, all particles in the rigid body move in straight lines parallel to
14
the axis, each having its unique angular velocity.
In rotational equilibrium, the sum of the torques acting on a system is always nonzero,
15
ensuring constant angular acceleration.
In some cases of rotation, like an oscillating table fan, the axis of rotation remains
16
completely fixed, and there is no phenomenon called precession.
In the absence of friction, a ladder leaning against a wall and floor will not experience any
17
normal reaction at either surface, making it prone to sliding.
In the study of motion, extended bodies are always considered as a single particle,
18
disregarding the concept of the center of mass.
Internal forces between particles of a system never contribute to the total torque, and they
19
never cancel out, even if they have equal magnitude and opposite direction.
Internal forces in a system of particles, governed by Newton's third law, are the sole
20
contributors to the equation for the center of mass's motion.
Kinematic equations for rotational motion with uniform angular acceleration include ω = ω0
21 + αt and θ2 = θ0 + ω0t + 0.5αt², demonstrating that angular velocity and angular
displacement are independent of time.
Knowledge of internal forces is essential to determine the center of mass's motion, and
22
external forces have no impact on it.
Mechanical equilibrium for a rigid body only involves translational equilibrium and not
23
rotational equilibrium, simplifying equilibrium analysis.
Moment of inertia (I) cannot be calculated for various regular-shaped bodies using specific
24
formulas.
25 Moment of inertia (I) has units of ML^3 instead of ML^2 and is measured in kg m^3.
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