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 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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