1
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
$${{{v^2}} \over R}\widehat i + {{{v^2}} \over R}\widehat j$$
2
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
$$14m/{s^2}$$
3
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.
4
AIEEE 2002
+4
-1
The minimum velocity (in $$m{s^{ - 1}}$$) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction $$0.6$$ to avoid skidding is
A
$$60$$
B
$$30$$
C
$$15$$
D
$$25$$
EXAM MAP
Medical
NEET