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XI Physics_New Chapter-6_System of Particles and Rotational Motion_[True or False Statement Questions]Sl # Statements [6.1 Introduction] True/False
In the study of motion, extended bodies are considered as systems of particles, where the
1 TRUE
center of mass is a key concept.
Rigid bodies are idealized as bodies with perfectly definite shapes, and they may have pure
2 TRUE
translational motion or a combination of translation and rotation.
Rotation of a rigid body is characterized by particles moving in circles lying in planes
3 TRUE
perpendicular to the axis of rotation.
In cases of rotation about a fixed axis, the axis remains stationary, and each particle on the axis
4 TRUE
stays at rest.
The rolling motion of a cylinder down an inclined plane involves both translation and rotation,
5 TRUE
making it a combination of motion types.
In physics, the concept of a rigid body is used to simplify the analysis of motion, where a rigid
6 TRUE
body maintains its shape.
Translational motion occurs when all particles of a rigid body move with the same velocity at
7 TRUE
any instant, as in the case of a block sliding down an inclined plane.
In some cases of rotation, like an oscillating table fan, the axis of rotation is not fixed but
8 TRUE
sweeps out a cone as it moves, called precession.
In physics, the motion of a rigid body can either be pure translation or a combination of
9 TRUE
translation and rotation, depending on whether it is pivoted or fixed.
1 OF 15 RI_Best Wishes
, XI Physics_New Chapter-6_System of Particles and Rotational Motion_[True or False Statement Questions]
Sl # Statements [6.1 Center of Mass] True/False
The center of mass of a system of particles can be calculated by finding the mass-weighted
1 TRUE
mean of the individual particle positions.
2 For two particles of equal mass, the center of mass lies exactly midway between them. TRUE
The center of mass of a homogeneous thin rod coincides with its geometric center due to
3 TRUE
reflection symmetry.
The center of mass of a triangle lies at the point of concurrence of its medians, known as the
4 TRUE
centroid.
The center of mass of a uniform L-shaped lamina can be found by considering the individual
5 TRUE
squares that make up the L shape and finding their center of mass.
The center of mass of a system of particles is a point where the sum of the mass-weighted
6 TRUE
positions of individual particles equals the total mass of the system.
Center of mass coordinates can be found using X = (∑mixi) / (∑mi) and Y = (∑miyi) / (∑mi), with xi
7 TRUE
and yi representing individual particle positions.
The center of mass of a uniform L-shaped lamina with multiple squares can be calculated by
8 TRUE
finding the center of mass of each square and determining their overall center of mass.
The center of mass of a homogeneous body with regular shapes like rings, discs, spheres, and
9 TRUE
rods lies at their geometric centers due to symmetry.
Using the concept of reflection symmetry, the center of mass of a thin rod coincides with its
10 TRUE
geometric center.
If the origin of the coordinate system is chosen as the center of mass, the sum of the position
11 TRUE
vectors of individual particles becomes zero.
The center of mass of a rigid body is determined using the formula R = (∫r dm) / M, where R is
12 the center of mass position vector, r is the mass element's position vector, dm is the mass TRUE
element, and M is the total body mass.
As the number of particles in a continuous distribution becomes large, we approximate the
13 TRUE
center of mass using integrals, where the origin is chosen as the center of mass.
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