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Write the necessary equation for maximum safety, speed and state the significance of each term involved in it.
Concept: Banking of Roads
Define moment of inertia. State its SI unit and dimensions.
Concept: Angular Momentum or Moment of Linear Momentum
The moment of inertia of a circular loop of radius R, at a distance of R/2 around a rotating axis parallel to horizontal diameter of the loop is ______
Concept: Moment of Inertia as an Analogous Quantity for Mass
A flywheel is revolving with a constant angular velocity. A chip of its rim breaks and flies away. What will be the effect on its angular velocity?
Concept: Angular Momentum or Moment of Linear Momentum
Derive an expression for maximum safety speed with which a vehicle should move along a curved horizontal road. State the significance of it.
Concept: Rotational Dynamics
The moment of inertia of a body about a given axis is 1.2 kgm2. initially, the body is at rest. For what duration on the angular acceleration of 25 radian/sec2 must be applied about that axis in order to produce rotational kinetic energy of 1500 joule?
Concept: Moment of Inertia as an Analogous Quantity for Mass
Derive an expression for the difference in tensions at the highest and lowest point for a particle performing the vertical circular motion.
Concept: Vertical Circular Motion
Derive an expression for critical velocity of a satellite revolving around the earth in a circular orbit.
Concept: Variation in the Acceleration>Variation in Gravity with Altitude
Explain why an astronaut in an orbiting satellite has a feeling of weightlessness.
Concept: Weightlessness
State Kepler's law of orbit and law of equal areas.
Concept: Kepler’s Laws
Why two or more mercury drops form a single drop when brought in contact with each other?
Concept: Fluid and Its Properties
Two capillary tubes of radii 0.6 cm and 0.3 cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes is ______.
Concept: Fluid and Its Properties
Define surface tension.
Concept: Surface Tension
What are cohesive forces?
Concept: Fluid and Its Properties
Derive an expression for the terminal velocity of the sphere falling under gravity through a viscous medium.
Concept: Stokes’ Law
State Wein's displacement law
Concept: Wien's Displacement Law
Prove the theorem of parallel axes about moment of inertia
Concept: Theorems of Perpendicular and Parallel Axes
Explain the physical significance of radius of gyration
Concept: Physical Significance of M.I (Moment of Inertia)
State and prove Kirchoff’s law of heat radiation.
Concept: Kirchhoff’s Law of Heat Radiation and Its Theoretical Proof
On what factors do the degrees of freedom depend?
Concept: Law of Equipartition of Energy
