ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB - IBC and ICA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct?
IAB > IBC
IBC > IAC
IAB + IBC = ICA
ICA is maximum
A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity ω. Its kinetic energy is
½mr2ω2
mrω2
mr2ω2
½ mr2ω
A mass M is moving with a constant velocity parallel to the x-axis. Its angular momentum with respect to the origin
is zero
remains constant
goes on increasing
goes on decreasing
The angular momentum of a body with mass(m) moment of inertia (I) and angular velocity (ω)rad/s is equal to
Iω
Iω2
Angular momentum is
vector (axial)
vector (polar)
scalar
None of these
The dimensional representation of angular momentum is identical to that of
Planck's constant
Universal gas constant
Boltzmann's constant
Gravitational constant
An engine requires 5 seconds to go from a speed 600 r.p.m to 1200 r.p.m. what is its angular acceleration?
12.6 ms-2
12.6 rad s-2
1.26 rad s-2
A particle of mass m = 5kg is moving with a uniform speed v = 3√2 in the XOY plane along the line Y = X + 4. The magnitude of the angular momentum of the particle about the origin is
60 unit
40 √2 unit
zero
7.5 unit
The SI unit of angular impulse is
Ns
Nms-1
J s
J s-2
The moment of inertia of a hoop of radius R and mass M, about any tangent will be
3/2 MR2
1/2 MR2
MR2
1/4 MR2
