REM B LVL 3

Question 1

Find the center of mass of a wire in the
form of an arc of a circle of radius R
which subtends an angle 2a
symmetrically at the center of
curvature.

A. Rsina/a
B. asina/R
C. sina/Ra
D. Ra/sina

Answer 1

A. Rsina/a

Question 2

A small object of uniform density rolls
up a curved surface with an initial
velocity ‘v’. It reaches up to a maximum
height of 3v^2/4g with respect to the
initial position. The object is a:

A. Disc
B. Solid sphere
C. Hollow sphere
D. Ring

Answer 2

A. Disc

Question 3

Any general displacement of a rigid
body can be represented by a
translation plus a rotation.

A. Hooke’s Law
B. Charles’ Theorem
C. Mean Speed Theorem
D. Poisson Ratio

Answer 3

B. Charles’ Theorem

Question 4

A thin uniform wire is bent into a
semicircle of radius R. Locate the center
of mass from the diameter of the
semicircle.

A. 2π/R
B. 2πR
C. 2/πR
D. 2R/π

Answer 4

D. 2R/π

Question 5

Locate the center of mass of a uniform
solid hemisphere of radius from the
center of the base of the hemisphere
along the axis of symmetry.

A. 3R/8
B. 3/8R
C. 8/3R
D. 8R/3

Answer 5

A. 3R/8

Question 6

G, the universal gravitational constant,
was measured experimentally by.

A. Copernicus
B. Kepler
C. Cavendish
D. Newton

Answer 6

C. Cavendish

The value of G was experimentally
determined by Lord Henry Cavendish
using a torsion balance. G = 6.673 x 10
N-m/kg.

Question 7

A particle of mass m and charge q
travelling with a velocity v along the x-
axis enters a uniform electric field E
directed along the y-axis. What shape
the trajectory will be?

A. Parabola
B. Ellipse
C. Semi-circle
D. Straight Line

Answer 7

A. Parabola