Four paticle of masses m1 = 2 m, m2 = 4 ...

Four paticle of masses `m_1 = 2 m, m_2 = 4 m, m_3 = m and m_4` are placed at four corners of a square. What should be the value of `m_4` so that the centres of mass of all the four particle are exactly at the centre of the square ?

8 m

6 m

None of these

Text Solution

Verified by Experts

Topper's Solved these Questions

CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY|Exercise Only one option is correct for JEE Advanced|55 Videos
CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY|Exercise More a than one option is Correct|1 Videos
CENTRE OF MASS
DC PANDEY|Exercise Medical entrances gallery|27 Videos
CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION
DC PANDEY|Exercise Level 2 Subjective|21 Videos

Similar Questions

Explore conceptually related problems

Four particle of masses m_(1)=2kg,m_2=4kg,m_(3)=1kg and m_(4) are placed at four corners of a square as shown in figure. Can mass of m_(4) be adjusted I such a way that the centre of mass of system will be at the centre of the square C.

Four particles of masses m, m, 2m and 2m are placed at the corners of a square of side a, as shown in fig. Locate the centre of mass.

Four particles of masses m, m, 2m and 2m are placed at the four corners of square of side a. Find the centre of mass of the system.

Four particles of masses m,m 2 m and 2m are placed at the four corner of a squre of side "a" as shown in figure -4. 107. The (x,y) coordinates of the centre of mass are:

If four different masses m_1, m_2,m_3 and m_4 are placed at the four corners of a square of side a , the resultant gravitational force on a mass m kept at the centre is

Four particles of masses 1kg , 2kg , 3kg and 4kg are placed at the four vertices A,B,C and D of a square of side 1m . Find square of distance of their centre of mass from A.

Four particles of masses 1 kg, 2 kg, 3 kg, 4 kg are placed at the corners of a square of side 2 m. Find the coordinates of centre of mass.

Four particles A, B, C and D of masses m, 2m, 3m and 4m respectively are placed at corners of a square of side x as shown in Fig. Locate the centre of mass.

Four bodies of masses 2, 3, 5 and 8 kg are placed at the four corners of a square of side 2 m. The position of CM will be -

Four particles having masses, m, wm, 3m, and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

DC PANDEY-CENTRE OF MASS, IMPULSE AND MOMENTUM-Comprehension type questions

Four paticle of masses m1 = 2 m, m2 = 4 m, m3 = m and m4 are placed at...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 2 When two bodies collide normally they exert equal ...
Text Solution
|
Comprehension # 2 When two bodies collide normally they exert equal ...
Text Solution
|
Two identiacal masses are as shown in figure. One is thrown upwards wi...
Text Solution
|
Two identiacal masses are as shown in figure. One is thrown upwards wi...
Text Solution
|
Two identiacal masses are as shown in figure. One is thrown upwards wi...
Text Solution
|
Comprehension # 4 When the mass of a system is variable, a thrust fo...
Text Solution
|
Comprehension # 4 When the mass of a system is variable, a thrust fo...
Text Solution
|
Comprehension # 4 When the mass of a system is variable, a thrust fo...
Text Solution
|
Acceleration of two identical particles moving in a straight line are ...
Text Solution
|
Acceleration of two identical particles moving in a straight line are ...
Text Solution
|
Comprehension # 5 One particle of mass 1 kg is moving along positive...
Text Solution
|