A cord is wound round the circumference of wheel
of radius r. The axis of the wheel is horizontal and
moment of inertia about it is I. A weight mg is
attached to the end of the cord and falls from the
rest. After falling through a distance h, the angular
velocity of the wheel will be
(a)
An impulse J is applied on a ring of mass m along a
line passing through its centre O. The ring is placed
on a rough horizontal surface. The linear velocity
of centre of ring once it starts rolling without
slipping is
(a) J/3m (b) J/m (c) J/4m (d) J/2m
The bob of a simple pendulum is displaced from its
equilibrium position O to a position Q which is at
height h above O and the bob is then released.
Assuming the mass of the bob to be m and time
period of oscillations to be 2.0 sec, the tension in
the string when the bob passes through O is
A block of mass M is suspended from a light spring
of force constant k. Another mass m moving
upwards with velocity v hits the mass M and gets
embeded in it. What will be the amplitude of the
combined mass?
(a)
(a)
4
mg
(b) Infinitesimal
(c) mg(1 ) (d)
2
mg
2 gh (b)
2 gh
Imr
(c)
1/
2
2 mgh
I mr
(d)
1/
2
2
2
mgh
I mr
(a) m g( ^2 gh) (b) m g( 2 ) gh
(c)
2
3
m g gh
(d)
2
2
m g gh
( )
mv
Mm k (b) ( )
mv
k Mm
(c) ( )
mv
Mm k (d) ( )
mv
k Mm
The displacement equation of the SHM obtained
by combining the motions 1
A particle simultaneously participates in two
mutually perpendicular oscillations,
x 2sin ,t
x 2 4sin t 6
and x 3 6sin t 3
is.
(a) x11.10sin( 31.54 ) t
(b) x9.24sin( 37.1 ) t
(c) x8.20sin( 23.4 ) t
(d) x12.10sin( 19.1 ) t
x5sint
and y5cos .t What is the trajectory of the
particle?
(a) Straight line (b) Ellipse
(c) Parabola (d) Circle
An ideal gas at 27 C is compressed adiabatically
to
8
27
of its original volume. If
5
,
3
then rise in
temperature is
(a) 450 K (b) 375 K (c) 675 K (d) 405 K
If
12.
13.
14.
15.
- A B C D,
then select the correct
alternative.
(a) B
is parallel to C D
(b) A
is perpendicular to C
(c) Component of C
along A
component of D
along A
