Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 40

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Question 1
4 / -1

A rod of mass m and length l is made to stand at an angle of 60° with the vertical. Potential energy of the rod in this position is

A

B

C

D

Solution
Question 2
4 / -1

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is m. The mass of the ink used to draw the outer circle is 6m. The co-ordinates of the centres of the different parts are : outer circle (0, 0), left inner circle (–a, a), right inner circle (a, a), vertical line (0, 0) and horizontal line (0, – a). The y-coordinate of the centre of mass of the ink in this drawing is

A

B

C

D

Solution
Question 3
4 / -1

Four particle of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides is 60°. The parallelogram lies in the x–y plane with mass m at the origin and 4 m on the x-axis. The centre of mass of the arrangement will be located at

A

B

C

D

Solution
Question 4
4 / -1

Masses 8, 2, 4, 2 kg are placed at the corners A, B, C, D respectively of a square ABCD of diagonal 80 cm. The distance of centre of mass from A will be

A
20 cm

B
30 cm

C
40 cm

D
60 cm

Solution
Question 5
4 / -1

Three identical metal balls each of radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed, when centres of three balls are joined. The centre of the mass of system is located at

A
Horizontal surface

B
Centre of one of the balls

C
Line jointing centres of any two balls

D
Point of intersection of the medians
Question 6
4 / -1

Centre of mass is a point

A
Which is geometric centre of a body

B
From which distance of particles are same

C
Where the whole mass of the body is supposed to concentrated

D
Which is the origin of reference frame
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

The centre of mass of triangle shown in figure has co-ordinates

A

B

C

D

Solution
Question 9
4 / -1

Two spheres of masses 2M and M are initially at rest at a distance R apart. Due to mutual force of attraction, they approach each other. When they are at separation R/2, the acceleration of the centre of mass of spheres would be

A
0 m/s²

B
g m/s²

C
3g m/s²

D
12 g m/s²
Question 10
4 / -1

A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is co. Its centre of mass rises to a maximum height of

A

B

C

D

Solution