A rod, placed in vertical plane, is being pushed along a smooth horizontal surface by a horizontal force F = 2 m g 3 . Mass per unit length of the rod is given λ r = m l 2 r , where r is distance from the action point of applied force F and l is the length of the rod. Then,

normal force for which rod only translates is m 2 g

normal force for which rod only translates is m g

A rod, placed in vertical plane, is being pushed along a smooth horizontal surface by a horizontal force F = 2 m g 3 . Mass per unit length of the rod is given λ r = m l 2 r , where r is distance from the action point of applied force F and l is the length of the rod. Then,

normal force for which rod only translates is m 2 g

A rectangular slab A B C D has dimensions a × 2 a as shown in figure. Match the following two columns. Column I Column II (i) Radius of gyration about axis- 1 (P) a 12 (ii) Radius of gyration about axis- 2 (Q) 2 a 3 (iii) Radius of gyration about axis- 3 (R) a 3 (iv) Radius of gyration about axis- 4 (S) None

i - b i i - c i i i - c i v - a

i - b i i - a i i i - c i v - c

i - d i i - b i i i - a i v - c

i - c i i - a i i i - d i v - b

Square frame is made of four uniform rods. Mass of each rod is m and length l . Match column I with column II. Column I (Axis of rotation) Column II (Moment of inertia about axis of rotation) (i) (a) 2 3 m l 2 (ii) (b) 5 3 m l 2 (iii) (c) 7 3 m l 2 (iv) (d) 8 3 m l 2

i - d i i - b i i i - a i v - c

i - b i i - a i i i - c i v - c

i - b i i - a i i i - d i v - c

i - c i i - a i i i - d i v - b

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A rod, placed in vertical plane, is being pushed along a smooth horizontal surface by a horizontal force $F = \frac{2 m g}{3} .$ Mass per unit length of the rod is given $λ (r) = (\frac{m}{l^{2}} r),$ where $r$ is distance from the action point of applied force $F$ and $l$ is the length of the rod. Then,

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Important Questions on Rigid Body Dynamics: Part 1

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 17

A stick

A B

of mass

M

is tied at one end to a light string

O A

. A horizontal force

F = M g

is applied at end

B

of the stick and it remains in equilibrium in position shown. Then,
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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 18

Two cylinders,

A

and

B

, have been placed in contact on an incline. They remain in equilibrium. The dimensions of the two cylinders are same. Choose the correct statement.
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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 19

A disc has radius

R

, mass

m

and has moment of inertia

I_{1}, I_{2}

I_{3}

and

I_{4}

about axis as shown in figure. Moment of inertia of disc about

z

-axis passing through

O

will be

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 20

A cylinder is rolling without sliding over two horizontal planks (surfaces)

1

and

2

. If the velocities of the surfaces

A

and

B

are

- v \hat{i}

and

2 v \hat{i}

respectively, find the
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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 5

A rectangular slab

A B C D

has dimensions

a \times 2 a

as shown in figure. Match the following two columns.
Question Image

	Column I		Column II
(i)	Radius of gyration about axis- $1$	(P)	$\frac{a}{\sqrt{12}}$
(ii)	Radius of gyration about axis- $2$	(Q)	$\frac{2 a}{\sqrt{3}}$
(iii)	Radius of gyration about axis- $3$	(R)	$\frac{a}{\sqrt{3}}$
(iv)	Radius of gyration about axis- $4$	(S)	None

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 6

A body of radius

r

rolls without sliding on a curved surface of radius of curvature

R

as shown in the figure. Match the Columns:
Question Image

	Column I		Column II
(i)	$ω_{C O}$	(a)	$\frac{v}{r}$
(ii)	$ω_{C P}$	(b)	$\frac{v}{R - r}$
(iii)	$ω_{P C}$	(c)	$\frac{a}{R - r}$
(iv)	$α_{C O}$	(d)	$\frac{a}{r}$

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 7

Square frame is made of four uniform rods. Mass of each rod is

m

and length

l

. Match column I with column II.

		Column II (Moment of inertia about axis of rotation)
(i)	(a)	$\frac{2}{3} m l^{2}$
(ii)	(b)	$\frac{5}{3} m l^{2}$
(iii)	(c)	$\frac{7}{3} m l^{2}$
(iv)	(d)	$\frac{8}{3} m l^{2}$

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 3 - Rigid Body Dynamics: Part 1>Exercises>Q 8

A disc rolls on ground without slipping. The velocity of centre of mass is

v

. There is a point

P

on circumference of disc at angle

θ

. Suppose

v_{p}

is the speed of this point. Then, match the following:
Question Image

	Column I		Column II
(i)	$I f θ = 60^{o}$ ,	(a)	$v_{p} = \sqrt{2} v$
(ii)	$I f θ = 90^{o}$ ,	(b)	$v_{p} = v$
(ii)	$If θ = 120^{o}$ ,	(c)	$v_{p} = 2 v$
(iv)	$I f θ = 18^{o}$ ,	(d)	$v_{p} = \sqrt{3} v$

A rod, placed in vertical plane, is being pushed along a smooth horizontal surface by a horizontal force F=2mg3. Mass per unit length of the rod is given λr=ml2r, where r is distance from the action point of applied force F and l is the length of the rod. Then,

Important Questions on Rigid Body Dynamics: Part 1

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