Center of Mass (KVPY Stream-SA (Class 11) Physics): Questions 1 - 2 of 4

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Question number: 1

» Center of Mass » Centre of Mass of a Rigid Body

Appeared in Year: 2014

MCQ▾

Question

A uniform square wooden sheet of side a has its center of mass located at point O as shown in the figure on the left. A square portion of side b of this sheet is cut out to produce as L-shaped sheet as shown in the figure on the right

Uniform square wooden sheet

Uniform Square Wooden Sheet

In figure on left a uniform square wooden sheet of side a has its center of mass located at point O. On right, a square portion of side b of this sheet is cut out to produce as L- shaped sheet.

The center of mass of the L-shaped sheet lies at the point P (in the diagram) when

Choices

Choice (4) Response

a.

ab=(5+1)2

b.

ab=(31)1

c.

ab=512

d.

ab=(3+1)2

Question number: 2

» Center of Mass » Centre of Mass of a Two-Particle System

Appeared in Year: 2013

MCQ▾

Question

Two identical uniform rectangular blocks (with longest side L) and a solid sphere of radius R are to be balanced at the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance from the vertical edge of the table without toppling as indicated in the figure.

 System of two identical rectangular blocks and a sphere

System of Two Identical Rectangular Blocks and a Sphere

In figure two identical uniform rectangular blocks and a solid sphere of radius R are to be balanced at edge of a heavy table.

If the mass of each block is M and of the sphere is M2 , then the maximum distance x that can be achieved is,

Choices

Choice (4) Response

a.

8L15

b.

7L15

c.

5L6

d.

3L4+R

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