Exam (elaborations)
Chapter Seven SYSTEM OF PARTICLES AND ROTATIONAL MOTION
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Chapter Seven SYSTEM OF PARTICLES AND ROTATIONAL MOTION
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Exemplar Problems–PhysicsChapter Seven
SYSTEM OF
PARTICLES AND
ROTATIONAL MOTION
MCQ I
7.1 For which of the following does the centre of mass lie outside the
body ?
(a) A pencil
(b) A shotput
(c) A dice Hollow
(d) A bangle sphere
Air
7.2 Which of the following points is the likely position of the centre of
mass of the system shown in Fig. 7.1?
R/2
A
(a) A
B
(b) B C
R/2
(c) C
(d) D D
Sand
7.3 A particle of mass m is moving in yz-plane with a uniform velocity v
with its trajectory running parallel to +ve y-axis and intersecting Fig. 7.1
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, System of Particles and
Rotational Motion
z-axis at z = a (Fig. 7.2). The change in its angular momentum about
the origin as it bounces elastically from a wall at y = constant is:
(a) mva êx
(b) 2mva êx
(c) ymv êx
(d) 2ymv êx
7.4 When a disc rotates with uniform angular velocity, which of the Fig. 7.2
following is not true?
(a) The sense of rotation remains same.
(b) The orientation of the axis of rotation remains same.
(c) The speed of rotation is non-zero and remains same.
(d) The angular acceleration is non-zero and remains same.
7.5 A uniform square plate has a small piece Q of an irregular
shape removed and glued to the centre of the plate leaving
a hole behind (Fig. 7.3). The moment of inertia about the
z-axis is then
(a) increased
(b) decreased
(c) the same
(d) changed in unpredicted manner. Fig. 7.3
7.6 In problem 7.5, the CM of the plate is now in the following quadrant
of x-y plane,
(a) I
(b) II
(c) III
(d) IV
7.7 The density of a non-uniform rod of length 1m is given by
ρ (x) = a(1+bx 2)
where a and b are constants and o ≤ x ≤ 1 .
The centre of mass of the rod will be at
3(2 + b )
(a)
4 (3 + b )
4 (2 + b )
(b) 3(3 + b )
3(3 + b )
(c)
4 (2 + b )
4 (3 + b )
(d)
3(2 + b )
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