1
AIEEE 2012
+4
-1
Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is
A
m1r1 : m2r2
B
m1 : m2
C
r1 : r2
D
1 : 1
2
AIEEE 2010
+4
-1
For a particle in uniform circular motion the acceleration $$\overrightarrow a$$ at a point P(R, θ) on the circle of radius R is (here θ is measured from the x–axis)
A
$$- {{{v^2}} \over R}\cos \theta \widehat i + {{{v^2}} \over R}\sin \theta \widehat j$$
B
$$- {{{v^2}} \over R}\sin \theta \widehat i + {{{v^2}} \over R}\cos \theta \widehat j$$
C
$$- {{{v^2}} \over R}\cos \theta \widehat i - {{{v^2}} \over R}\sin \theta \widehat j$$
D
$${{{v^2}} \over R}\widehat i + {{{v^2}} \over R}\widehat j$$
3
AIEEE 2010
+4
-1
A point $$P$$ moves in counter-clockwise direction on a circular path as shown in the figure. The movement of $$P$$ is such that it sweeps out a length $$s = {t^3} + 5,$$ where $$s$$ is in metres and $$t$$ is in seconds. The radius of the path is $$20$$ $$m.$$ The acceleration of $$'P'$$ when $$t=2$$ $$s$$ is nearly.

A
$$13m/{s_2}$$
B
$$12m/{s^2}$$
C
$$7.2m{s^2}$$
D
$$14m/{s^2}$$
4
AIEEE 2004
+4
-1
Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed?
A
The velocity vector is tangent to the circle.
B
The acceleration vector is tangent to the circle.
C
The acceleration vector points to the centre of the circle.
D
The velocity and acceleration vectors are perpendicular to each other.
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