Q.1.
A solid sphere is rotating in free space. if the radius of the sphere is increased keeping mass same which one of the following will not be affected? [ AIEEE 2004]
-
25%
a) Angular velocity
-
50%
b) Angular momentum
-
12%
c)Moment of inertia
-
12%
d)Rotational kinetic energy
Q.2.
A particle performing uniform circular motion has angular frequency if doubled and its kinetic energy halved, then the new angular momentum is [ AIEEE 2003]
-
67%
a) L/4
-
33%
b) 2L
-
0%
c)4L
-
0%
d)L/2
Q.3.
The moment of inertia of a solid sphere and a spherical shell of equal masses about their diameters are equal. the ration of their radii are .. [ CBSE 1997]
-
17%
a) 5:3
-
0%
b) 3:5
-
67%
c) √5 : √3
-
17%
d) √3 : √5
Q.4.
A body A of mass M while falling vertically downwards under gravity breaks into two parts, a body B of mass (1/3)M and a body C of masses (2/3)M. The centre of mass of body B and C taken together shifts compared to that of body A towards [ AIEEE 2005]
-
20%
a) does not shift
-
40%
b) depends on height of breaking
-
20%
c) body B
-
20%
d) body C
Q.5.
A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C. [ AIEEE 2005]
-
33%
a)(3/2)l
-
0%
b) (2/3)l
-
0%
c)l
-
67%
d)(4/3)l
Explanation
Q.6.
A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of [ AIEEE 2009]
-
0%
a)
-
25%
b)
-
50%
c)
-
25%
d)
Explanation
Q.7.
A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincides. The centre of mass of the new disc is α/R from the centre of the bigger disc. The value of α is [ AIEEE 2007]
-
0%
a) 1/4
-
25%
b) 1/3
-
50%
c)1/2
-
25%
d)1/6
Explanation
Q.8.
For the given uniform square lamina ABCD, whose centre is O, [ AIEEE 2007]
-
0%
a) IAC=√2 IEF
-
0%
b) √2 IAC=IEF
-
33%
c) IAD=3 IEF
-
67%
d) I AC=IEF
Q.9.
A circular disc X of radius R is made from iron plate of thickness t and another disc Y of radius 4R is made from an iron plate of thickness t/Then the relation between the moment of inertia Ix and Iy is [ AIEEE 2003]
-
33%
a)IY=32IX
-
0%
b) IY=16IX
-
0%
c)IY=IX
-
67%
d)IY=64IX
Explanation
Q.10.
A body falling vertically downwards under gravity breaks in two unequal parts of unequal masses. the centre of mass of the two parts taken together shifts horizontally towards
-
33%
a) lighter piece
-
0%
b) heavier piece
-
0%
c)depends on the vertical velocity at the time of breaking
-
67%
d)does 't shift horizontally
Q.11.
A sphere can not roll on
-
33%
a) a smooth inclined surface
-
33%
b) a smooth horizontal surface
-
33%
c) a rough inclined surface
-
0%
d) a rough horizontal surface
Q.12.
Two racing cars of mass m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same length of time t. The ratio of the angular speed of the first to the second car is [ M.N.R. 1995]
-
0%
a)m1 : m2
-
33%
b) r1 : r2
-
67%
c)1:1
-
0%
d)m1r1 : m2r2
Q.13.
A ring and disc have the same mass and radius. The ratio of their moment of inertia about an axis is [ punjab CET 1995]
-
33%
a) 1:1
-
33%
b) 2:1
-
0%
c)4:1
-
33%
d)1:2
Explanation
Q.14.
A man is sitting with folded hands on a revolving table. Suddenly, he stretches his arms. Angular speed of the table would [ CPMT 1996]
-
33%
a) increase
-
33%
b) decrease
-
0%
c)remain the same
-
33%
d)nothing can be said
Q.15.
When a body rolls down an inclined plane, its potential energy is converted into [ CBSE 1996]
-
0%
a) translational K.E only
-
0%
b) rotational K.E only
-
67%
c) translational and rotational K.E
-
33%
d) none of above
Q.16.
A raw egg and a hard boiled egg are made to spin on a table with the same angular speed about the same axis. The ratio of the time taken by the two to stop is [ CPMT 1996]
-
33%
a) =1
-
67%
b) < 1
-
0%
c) > 1
-
0%
d) none of the above
Q.17.
A couple produces a ... [ pre-medical dental, 1997]
-
0%
a) pure linear motion
-
67%
b) pure rotational motion
-
33%
c) both linear and rotational motion
-
0%
d) no motion
Q.18.
If sphere is rolling , the ratio of the rotational energy to the total kinetic energy is given by [ MEE BHU 1997]
-
0%
a) 7:10
-
0%
b) 2:5
-
67%
c) 10:7
-
33%
d) 2:7
Explanation
Q.19.
The least coefficient of friction for an inclined plane at an angle α with horizontal, in order that a solid cylinder will roll down it without slipping is [ CET 1997 punjab]
-
0%
a) 2/3( tan α)
-
33%
b) 2/7 (tan α)
-
33%
c)1/3 (tanα)
-
33%
d)4/3( tan α)
Q.20.
A mass m is moving with a constant velocity along a line parallel to the x-axis away from the origin. Its angular momentum with respect to the origin. Its angular momentum with respect to the origin is [ IIT 1997]
-
33%
a) zero
-
33%
b) constant
-
33%
c)goes on decreasing
-
0%
d)goes on increasing
Q.21.
Three identical metal balls each of radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed when such centres of three balls are joined. The centre of mass of system is located at [CBSEPMT 1995]
-
33%
a) horizontal surface
-
0%
b) centre of one of the balls
-
67%
c) line joining centre of any two balls
-
0%
d) point of intersection of medians
Q.22.
The moment of inertia of disc of mass M and radius R about an axis, which is tangential to circumference of disc and parallel to its diameter [ CBSE PMT 1999]
-
67%
a)(3/2) MR2
-
0%
b) (2/5) MR2
-
33%
c)(5/4) MR2
-
0%
d)(4/4) MR2
Q.23.
The radius of gyration of a uniform rod of length L about on axis passing through its centre of mass [AMU 1999]
-
33%
a) L/ √12
-
67%
b) L2 / 12
-
0%
c)L/√3
-
0%
d)L/√2
Q.24.
A wheel is rotating at 900 r.p.m about its axis. When power is cut off it comes to rest in 1 minute. The angular retardation is rad/s2 [ MP CEE 1999]
-
33%
a) π/2
-
67%
b) π/4
-
0%
c)π/6
-
0%
d)π/8
Q.25.
A solid cylinder rolls down a smooth inclined plane 4.8m high without slipping what is itslinear speed at the bottom of the plane, if it starts rolling from the top of the plane?(take g=10 m/s2)
-
33%
a) 4 m/s
-
0%
b) 2 m/s
-
33%
c) 10 m/s
-
33%
d) 8 m/s
Explanation
Q.26.
A cylindrical solid of mass M has radius R and length L. Its moment of inertia about a generator is [ MP PMT 2009]
-
0%
a)
-
33%
b)
-
33%
c)½ MR2
-
33%
d)(3/2) MR2
Q.27.
An earth satellite is moving around the earth in a circular orbit. In such a case, what is conserved? [ DEC 2001]
-
0%
a) velocity
-
0%
b) linear momentum
-
67%
c)angular momentum
-
33%
d)none of the above
Q.28.
The acceleration of solid cylinder rolling down an inclined plane of inclination 30° is [ DPMT 2002]
-
33%
a) g/3
-
33%
b) g/2
-
0%
c)g
-
33%
d)g/4
Q.29.
When a torque acting upon a system is zero, which of the following will be constant? [ J and K CET 2002]
-
0%
a) force
-
33%
b) linear momentum
-
0%
c) linear impulse
-
67%
d) none of these
Q.30.
An athlete throws a discus from rest to a final angular velocity of 15rad/s in 0.27s before releasing it. During acceleration, discuss moves in a circular arc of radius 0.81m. Acceleration of discuss before it is released is .... ms2 [ kerala PET 2004]
-
33%
a)45
-
67%
b) 182
-
0%
c)187
-
0%
d)192