Consider two particles 1 and 2 moving with constant velocities v → 1 and v → 2 . If r → 1 and r → 2 are the radius vectors of the particles at the start, the relation between r → 1 , r → 2 , v → 1 and v → 2 when the two particles collide is

r → 1 - r → 2 r → 1 - r → 2 = v → 2 - v → 1 v → 2 - v → 1

r → 1 - r → 2 = v → 2 - v → 1

r → 1 + r → 2 r → 1 + r → 2 = v → 1 + v → 2 v → 1 + v → 2

r → 1 + r → 2 = v → 1 + v → 2

Consider two particles 1 and 2 moving with constant velocities v → 1 and v → 2 . If r → 1 and r → 2 are the radius vectors of the particles at the start, the relation between r → 1 , r → 2 , v → 1 and v → 2 when the two particles collide is

r → 1 - r → 2 r → 1 - r → 2 = v → 2 - v → 1 v → 2 - v → 1

Consider two particles 1 and 2 moving with constant velocities v → 1 and v → 2 . If r → 1 and r → 2 are the radius vectors of the particles at the start, the relation between r → 1 , r → 2 , v → 1 and v → 2 when the two particles collide is

r → 1 - r → 2 r → 1 - r → 2 = v → 2 - v → 1 v → 2 - v → 1

r → 1 - r → 2 = v → 2 - v → 1

r → 1 + r → 2 r → 1 + r → 2 = v → 1 + v → 2 v → 1 + v → 2

r → 1 + r → 2 = v → 1 + v → 2

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Consider two particles $1$ and $2$ moving with constant velocities ${\vec{v}}_{1}$ and ${\vec{v}}_{2}$ . If ${\vec{r}}_{1}$ and ${\vec{r}}_{2}$ are the radius vectors of the particles at the start, the relation between ${\vec{r}}_{1}, {\vec{r}}_{2}, {\vec{v}}_{1}$ and ${\vec{v}}_{2}$ when the two particles collide is

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Important Questions on Centre of Mass

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET 2020 (28-Sep Shift-1)>Q 1

Two masses of

1 g

and

4 g

are moving with equal kinetic energy. The ratio of the magnitudes of their linear momentum is

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET 2020 (28-Sep Shift-1)>Q 2

A uniform wire of length

L

' with centre of mass at the origin is lying along the

x

- axis. The wire is bent in the form of a circle such that its lowest point is at the origin. Then the shift of centre of mass is

HARD

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET Medical 2021 (9-Aug Shift-1)>Q 3

A homogenous semi circular plate of radius $9 cm$ placed at the origin as shown in the figure. The coordinate of center of mass is (Assume thickness is negligible)

Question Image

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET - 9 August 2021 Shift 2>Q 4

Three spheres

A, B

and

C

each of mass

1 kg

and radii

R, 2 R

and

3 R

respectively are kept touching each other as shown in the figure. Assuming the centers of the spheres are on a straight line, the distance of centre of mass of the system from the center of sphere,

A

EASY

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET - 9 August 2021 Shift 2>Q 5

If the sum of external forces acting on a system is zero, then the centre of mass

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET - 10 August 2021 Shift 1>Q 6

A rod has length

L .

The linear mass density is

2 x kg m^{- 1}

where

x

is the distance from the left end. The centre of mass of the rod from the left end lies at a distance of
Question Image

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET 2020 (28-Sep Shift-1)>Q 7

Two balls

A

and

B

of masses

50 kg

and

20 kg

are moving in a straight line in the same direction at speed of

9 km h^{- 1}

and

18 km h^{- 1}

respectively. Ball

B

hits

A

and reverses its direction at a speed of

27 km h^{- 1} .

The speed of the ball

A

after the collision is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 7 - Centre of Mass>TS EAMCET Medical 2019 (8-May Shift-2)>Q 8

Consider two particles

1

and

2

moving with constant velocities

{\vec{v}}_{1}

and

{\vec{v}}_{2}

. If

{\vec{r}}_{1}

and

{\vec{r}}_{2}

are the radius vectors of the particles at the start, the relation between

{\vec{r}}_{1}, {\vec{r}}_{2}, {\vec{v}}_{1}

and

{\vec{v}}_{2}

when the two particles collide is

Consider two particles 1 and 2 moving with constant velocities v→1 and v→2. If r→1 and r→2 are the radius vectors of the particles at the start, the relation between r→1, r→2, v→1 and v→2 when the two particles collide is

Important Questions on Centre of Mass

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