Question

Two bodies of masses 0.8 kg and 1.2 kg are located at (1, –2) and (-3, 4) respectively. The

coordinates of C.M are [ ]

a) (2, 3) b) (–1.4, 1.6) c) (–2, – 3) d) (–4.6, 2.3)

2. Three particles each of mass 2.5 Kg are located at the corners of a right angled triangle whose

sides are 2m and 1.5 m long as shown in the figure. The CM is located at [ ]

a) (2.6, 3.7)

b) (0.5, 1.5)

c) (1.33, 0.5)

1.5 m

m 2m m

x

m

d) (0.5, 0.5)

3. Four equal masses ‘m’ lie at the corners of a rectangle of width a and length b. the CM of the

system is at [ ]

a) (a, b)

b)  ,  2 2

a b

m

x

a

m

m

b

y

c)  ,  2 2

b a

d) (b, a)

4. Two bodies of masses 100g and 300 g have position vectors (2i + 5j + 13 k) and (–6i + 4j – 2 k)

respectively. the distance of centre of mass from origin is [ ]

a) 2.03 units b) 6.09 units c) 9.01 units d) 11.2 units

5. Two balls of masses 3m and m are separated by a distance l. Find the position of C.M from 3 m

mass ? [ ]

a) 4

l b) 2

l c) 3

4

l d) l

6. The distance between the centres of carbon and oxygen atoms in a carbon monoxide gas mol-

ecule is 1.13A. The centre of mass relative to carbon molecule is [ ]

a) 0.501 Å b) 0.602Å

c) 0.701 Å d) 1.13 Å​

Answer 1

this question is too long