1
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
A conical pendulum of length 1 m makes an angle $$\theta$$ = 45o w.r.t. Z-axis and moves in a circle in the XY plane. The radius of the circle is 0.4 m and its center is vertically below O. The speed of the pendulum, in its circular path, will be: (Take g = 10 ms−2 )

A
0.4 m/s
B
4 m/s
C
0.2 m/s
D
2 m/s
2
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
3
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
$${{{v^2}} \over R}\widehat i + {{{v^2}} \over R}\widehat j$$
4
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
$$14m/{s^2}$$
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