Bissoy
Login
Get Advice on Live Video Call
Earn $ Cash $ with
consultations on Bissoy App
A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be
A
1/2 Iω2
B
Iω2
C
1/2 Iωωp
D
Iωωp
Correct Answer:
Iωωp
None
A disc is a spinning with an angular velocity $$\omega $$ rad/s about the axis of spin. The couple applied to the disc causing precession will be (where $$I$$ = Mass moment of inertia of the disc and $$\omega {\text{P}}$$ = Angular velocity of precession of the axis of spin)
A
$$\frac{1}{2}I{\omega ^2}$$
B
$$I{\omega ^2}$$
C
$$\frac{1}{2}I\omega \omega {\text{P}}$$
D
$$I\omega \omega {\text{P}}$$
A disc is spinning with an angular velocity? rad/s about the axis of spin. The couple applied to the disc causing precession will be
A
1/2Iω2
B
Iω2
C
1/2 Iω ωp
D
Iω ωp
A disc spinning on its axis at 20 rad/s will undergo precession when a torque 100 N-m is applied about an axis normal to it at an angular speed, if mass moment of inertia of the disc is the 1 kg-m2
A
2 rad/s
B
5 rad/s
C
10 rad/s
D
20 rad/s
Maximum couple during pitching is given by : (ω: angular velocity of rotor & ωpmax: Maximum angular velocity of precession).
A
Cmax = I.(ωpmax)2
B
Cmax = I.(ω)2
C
Cmax = I. ω. ωpmax
D
Cmax = I2. ω. ωpmax
What will be the effect of a gyroscopic couple if the axis of precession and axis of spin become parallel?
A
No effect
B
Pitching
C
Steering effect
D
No motion
A disc is rotating with ω =10rad/s about a fixed central axis which is perpendicular to its plane. The disc has a mass =2kg & radius =10cm. A small particle of mass 100gm is put slowly on the disc’s outer circumference. There is sufficient friction between the disc and the particle. What will be the new angular velocity of the system?
A
10 rad/s
B
9.09 rad/s
C
9.51 rad/s
D
Can’t conserve angular momentum because of friction
The axis of precession is ____________ to the plane in which the axis of spin is going to rotate.
A
parallel
B
perpendicular
C
spiral
D
none of the mentioned
The axis of precession is parallel to axis of spin during rolling for only a selected few positions.
A
False
B
True
The axis of precession is __________ to the plane in which the axis of spin is going to rotate.
A
Parallel
B
Perpendicular
C
Both A and B
D
None of these
A disc of radius 10cm is rotating about the central axis perpendicular to its plane. A force of 5N acts on it tangentially. The disc was initially at rest. Calculate the value of power supplied by the force when the disc has rotated by 30°.The mass of the disc is 2kg.
A
1.28W
B
1.8W
C
3.9W
D
2.63W