Question

Heya mates...

Answer them.♠

1. A body is projected horizontally from top of a building of height h . Velocity of projection is u find?

a) The time it will take to reach the ground.
b) Horizontal distance from foot of a building where it will strike the ground
C) Velocity with which the body reach the ground

2. Derive an expression for maximum speed of a vehicle should have to take a turn on a banked road. Hence deduce an expression for angle of banking at which there is minimum wear and tear to the tyres of the vehicle.

3. Calculate moment of inertia of circular disc( All four cases)?

4. Show that for small oscillations the motion of a simple pendulum is simple harmonic . Derive an expression for its time period. Does it depend on the mass of the bob?

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Answer 1

2) angle of banking :

In a banked road, that has a friction, the maximum allowable velocity is given by

v²=rg[μ+tanθ]/[1−μtanθ]

Solving for the angle

tanθ=[v²−μrg]/[rg+μv²]

The wear and tear of the tyres is due to the frictional coefficient of the rough surface. It can be minimised when the frictional coefficient is minimal namely zero.

Hence

tanθ=v²/rg

couldn't solve qno 3 sorry :(

Answer 2

↗⭐《ANSWER》

↪Actually welcome to the Concept of the MOMENT OF INERTIA OF A DISC OR A CIRCUALR LAMINAR BODY