28p
1
ROTATIONAL MOTION velocity of the ring will be [CDSE 2003] [1] m 4 M M + ϖ [2] M ) m 4 M ( ϖ + [3] (M 4m) M 4m - ϖ + [4] m 4 Mϖ Q.75 A particle moves along a circle of radius π 20 m with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begin, the tangential acceleration is [CBSE 2003] [1] 640 π m/s 2 [2] 160 π m/s 2 [3] 40 π m/s 2 [4] 40 m/s 2 Q.76 Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends, what would be its angular velocity L M J=MV M [1] V/L [2] 2V/L [3] V/3L [4] V/4L [lIT Scr. 2003] Q.77 A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then the relation between the moment of inertia I x and I y is [AIEEE 2003] [1] I y = 64 I x [2] I y = 32 I x [3] I y = 16 I x [4] I y = I x Q.78 Let F be the force acting on a particle having position vector r r and T r be the torque of this force about the origin. Then [AlEEE 2003] [1] 0 T . r = r r and 0 T . F = r r [2] 0 T . r = r r and F.T 0 ≠ rr [3] r.T 0 ≠ r r and 0 T . F = r r [4] r.T 0 ≠ r r and F.T 0 ≠ rr Q.79 Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is [AlEEE 2003] [1] 1.5 R [2] 2.5 R [3] 4.5 R [4] 7.5 R Q.80 An annular ring with inner and outer radii R 1 and R 2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring. 2 1 F F is- [1] 1 [2] 2 1 R R [3] 1 2 R R [4] 2 2 1 R R [AlEEE 2005] Q.81 The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is - [AlEEE 2005] [1] Mr 2 [2] 2 Mr 2 1 [3] 2 Mr 4 1 [4] 2 Mr 5 2 Q.82 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. - [AlEEE 2005] F l 2l B A P C
description
p
Transcript of 28p
ROTATIONAL MOTION
velocity of the ring will be [CDSE 2003]
[1] m4M
M+
ω[2]
M)m4M( ω+
[3] (M 4m)
M 4m− ω+
[4] m4
Mω
Q.75 A particle moves along a circle of radius π20
m with constant tangential acceleration. If the velocity of the particle
is 80 m/s at the end of the second revolution after motion has begin, the tangential acceleration is [CBSE 2003]
[1] 640 π m/s2 [2] 160 π m/s2 [3] 40 π m/s2 [4] 40 m/s2
Q.76 Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod.If an impulse J = MV is imparted to the body at one of its ends, what would be its angular velocity
L
MJ=MV
M
[1] V/L [2] 2V/L [3] V/3L [4] V/4L [lIT Scr. 2003]
Q.77 A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made froman iron plate of thickness t/4. Then the relation between the moment of inertia I
x and I
y is [AIEEE 2003]
[1] Iy = 64 I
x[2] I
y = 32 I
x[3] I
y = 16 I
x[4] I
y = I
x
Q.78 Let F be the force acting on a particle having position vector rr and T
r be the torque of this force about the origin.
Then [AlEEE 2003]
[1] 0T.r =rr
and 0T.F =rr
[2] 0T.r =rr
and F.T 0≠r r
[3] r .T 0≠rr
and 0T.F =rr
[4] r .T 0≠rr
and F.T 0≠r r
Q.79 Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initialseparation between their centres equal to 12R. If they attract each other due to gravitational force only, then thedistance covered by the smaller body just before collision is [AlEEE 2003]
[1] 1.5 R [2] 2.5 R [3] 4.5 R [4] 7.5 R
Q.80 An annular ring with inner and outer radii R1 and R
2 is rolling without slipping with a uniform angular speed. The ratio
of the forces experienced by the two particles situated on the inner and outer parts of the ring. 2
1
FF
is-
[1] 1 [2] 2
1
RR
[3] 1
2
RR
[4]
2
2
1
R
R
[AlEEE 2005]
Q.81 The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to theplane of the disc through the centre is - [AlEEE 2005]
[1] Mr2 [2] 2Mr21
[3] 2Mr41
[4] 2Mr
52
Q.82 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 locationof P with respect to C. - [AlEEE 2005]
F
l
2l
BA
P
C
