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Physics
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Motion in a Plane
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NEET Questions
Motion In A Plane
Physics
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JEE Mains
NEET
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Hard Qs
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A particle of mass
$10g$
moves along a circle of radius
$6.4cm$
with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to
$8×10_{−4}J$
by the end of the second revolution after the beginning of the motion?
A
$0.1m/s_{2}$
B
$0.15m/s_{2}$
C
$0.18m/s_{2}$
D
$0.2m/s_{2}$
Hard
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The position vector of a particle
$R$
as a function of time is given by:
$R=4sin(2πt)i^+4cos(2πt)j^ $
,
where
$R$
is in meters,
$t$
is in seconds and
$i^$
and
$j^ $
denote unit vectors along x-and y- directions, respectively. Which one of the following statements is wrong for the motion of particle?
A
Path of the particle is a circle of radius
$4m$
B
Acceleration vector is along
$−R$
.
C
Magnitude of acceleration vector is
$Rv_{2} $
, where
$v$
is the velocity of particle.
D
Magnitude of the velocity of particle is
$8m/s$
Medium
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A uniform circular disc of radius
$50cm$
at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of
$2.0rads_{−2}$
. Its net acceleration in
$ms_{−2}$
at the end of
$2.0s$
is approximately:
A
$8.0$
B
$7.0$
C
$6.0$
D
$3.0$
Medium
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