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what is physical significance of moment of inertia?

state and explain theorem of perpendicular and parellel axis what ia moment of inertia about circular disc

and my solution is below in the image. In my view my soln is incomplete, there is neither any derivation in my soln nor any diagram. Procedure is also incomplete. plz help me for completing this draw diag becaz diagram is necessary here

A force acts on a 3g particle in such a way that the position of the particle as a function of time is given by x=3t-4t

^{2}+t^{3}where x is in meters and t is in seconds. The work done during the first 4 sec.

Show that a Gravitational Force is a Conservative Force .

1)a ball is thrown vertically upwards . Draw velocity time graph of this motion?

2)define angle of friction?

3)the speed of a projectile reduces to 50% on reaching maximum height. what is the horizontal range?

4)distinguish b/w elastic & nonelastic collision .give 1 example for each

(a)Copper

(b)Aluminium

(c)Diode-valve

(d)None of these

The relation between the displacement x and the time t for a body of mass 2kg moving under the action of force is given by x=t

^{3}/3 , where x is in metre and t in second , calculate the work done by body in first 2 seconds.A running man has half the kinetic energy that a boy half his mass has. The man speeds up by 1.0m/s and then has the same energy as the boy. What were the orignal speed of the man and the boy?

a uniform chain of lenght L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. if g is acceleration due to gravity,calculate work required to pull the hanging part on th table

A force of 5.0 N moves a 6.0 kg object along a rough floor at a constant speed of

^{-1}. Then^{-1}^{-2}define escape velocity .derive expression for it

Q45. A block starts from rest from top of incline plane whose last $\frac{1}{3}$ rd part is rough. If block comes to rest at bottom, then value of coefficient of friction between block and incline plane is

$\left(1\right)\mathrm{\mu}=\mathrm{tan}\mathrm{\theta}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(2\right)\mathrm{\mu}=\frac{1}{3}\mathrm{tan}\mathrm{\theta}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(3\right)\mathrm{\mu}=\frac{1}{2}\mathrm{tan}\mathrm{\theta}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(4\right)\mathrm{\mu}=3\mathrm{tan}\mathrm{\theta}$

prove work energy theorem for a variable force

give 4 examples of positive, negative and zero work done with diagram

A rigid body mass m is held at a height H on two smooth wedges of mass M each of which are themselves at rest on a horizontal frictionless floor. On releasing body, it moves down pushing aside the wedges . Find the velocity of recede of the wedges from each other when rigid body is at a height h from the ground.

a force F=-K(yi+xj), where K is a positive constant,acts on a particle moving in a x-y plane.. starting from the origin yhe particle is taken alon positive x axisto a point (a,0) and then parallel to y axis to a point (a,a.) calculate the total work done by force on the particle.

A motor having an efficiency Of 90 % operates a crane having an efficiency of 40%. With what constant speed does the crane lift a 500kg weight if the power supplied to the motor is 5 KW ?

a running man has half the k.e of that of a boy of half his mass.the man speeds up by 1m/s and then has the same k..e as that of boy. find original speeds of man and boy

Q19. A cyclist paddling at a speed of 10 m/s on a level road takes a sharp circular turn of radius 10 m without reducing the speed. The angle made by cyclist with vertical is

$\left(1\right)\frac{\mathrm{\pi}}{4}\left(2\right)\frac{\mathrm{\pi}}{3}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{\mathrm{\pi}}{6}\left(4\right)\frac{\mathrm{\pi}}{2}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

Does the center of mass of a body always lie inside the body?

Two balls with the same mass, one of wood and the other a ping-pong ball partly filled with sand, are

a) 3 m/s

b) 4 m/s

c) 6 m/s

d) 8 m/s

The turbine pits at the Niagara falls are 50m deep. The average horse power developed is 5000, the efficiency being 85%. How much water passes through the turbine per minute?given 1 HP = 746W and g= 10m/s

^{2}A shell is fired from a cannon with a velocity v m/s at an angle theta with the horizontal direction.At the highest point of this path , it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon.The speed in m/s of other piece immediately after the explosion will be ?

(i)Both bodies exchange their velocities after collision.

(ii)Light body rebounds after the collision with an equal and opposite velocity.

(iii)Light body rebounds with twice its initial velocity.

(iv)Massive body moves with the velocity of light body.

show that total energy is conserved at any instant of time (mathematically) in the following cases:

freely falling body;

spring;

bouncing of a ball;

A man pulls a bucket of water from a well of depth H. if the mass of uniform rope and bucket full of water are m and M respectively. The value of work done by man is

A.(M+m/2).g.h

B.(M+m)gh

C.(m+M)/2.G.H

D. none

A bob of mass m is suspended by a light string of length L.It is imparted a horizontal velocity v

_{0}at the lowest point A such that it completes a semi- circular trajectory in the vertical plane with the string becoming slack only on reaching the topmost point,C.Obtain an expression fori) v

_{0}ii)the speeds at point B and C

^{2})A long spring is stretched by 2 cm when P.E. is V. If the spring is stretched by 10 cm, what is the value of P.E.?

A train weighing 100 metric ton is running on a level track with a uniform speed of 72 km/h.If the frictional resistance amounts 0.5 kg per metric ton,find the power of the engine.Solve this:The value of acceleration and friction force in the given diagram is:

(1) 4 m/s

^{2}upward, 120 N(2) 4 m/s

^{2}downward, 120 N(3) 5 m/s

^{2}upward, 36 N(4) 5 m/s

^{2}upward, 120 NAn engine pumps water through a hose pipe. water passes through the pipe & leaves it with a velocity of 2 m/s. the mass per unit length of water in the pipe is 100 kg/m. what is the power of the engine?

2s along a frictionless track. The

graph shows the force on the body

against time.How much work is done by the force?

_{A}& m_{B }respectively, then:-a) 2m

_{A}=m_{B}b) 3m

_{A}=m_{B}c) 4m

_{A}=m_{B}d) (3)

^{1/}^{2}m_{A}=m_{B}(A) 3R Ohms

(B) 2/4R Ohms

(C) R/3 Ohms

(D) 2/3R Ohms

HOW DOES THE KINETIC ENERGY OF A BODY CHANGE IF ITS MOMENTUM IS DOUBLED ?plz explain me integration and differentiation with basics and examples and formulas.....plzzzz badly needed.....help as soon as posssible.....reply awiated!!!!!!

as the product of force and magnitude of displacement.

a) Name the energy possessed by the body at maximum height. Write an equation for it.

b) A man of mass 60 kg carries a stone of mass 20 kg to the top of a multi-storeyed building of height 50m. Calculate the total energy spent by him? (9.8m/s2)

1. An object is attached to a vertical spring and slowly lowered to its equilibrium position. This stretches the spring by a distance d.if the same object is attached to the same vertical spring but permitted to fall freely, through what distance does it stretches the spring.

2.A block of 2 kg is dropped from a height of 40 cm on a spring of force constant 1960 N/m what will be the maximum distance x to which the spring is compressed.

A body is thrown up from the ground with a velocity 39.2 m/s. At what height will its kinetic energy be reduced to one fourth of its original kinetic energy?

a body of mass M at rest is struck by a moving body of mass m. prove that the fraction of initial K.E of mass transferred to the struck body is 4Mm/(m+M)^2

Solve this:The potential energy function for a conservative force is given by $U=\beta (2x+4y)$. The work done by the conservative force in displacing a particle from point P(1,2) to Q(3,5) is equal to:

$\left(1\right)-10\beta \left(2\right)-26\beta \phantom{\rule{0ex}{0ex}}\left(3\right)-16\beta \left(4\right)+10\beta $

A block of mass m is attached to two unstretched springs of spring constants k1 and k2 as shown in figure.The block is displaced towards right through x and is released. Find the speed of the block as it passed through the mean position.

Q. A smooth body is released from rest

Aat a pointAat the top of a smooth curved track of vertical heigh 40 cm. What is the speed of the body at the bottom of the curved track? How far along the adjoining smooth inclined plane will the body go?Ans. 2.8 m/s, 80 cm.

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time

tis proportional to(i) (ii)

t(iii) (iv)The blades of a windmill sweep out a circle of area

A. (a) If the wind flows at a velocityvperpendicular to the circle, what is the mass of the air passing through it in timet?(b) What is the kinetic energy of the air? (c) Assume that the windmill converts 25% of the wind’s energy into electrical energy, and thatA= 30 m^{2},v= 36 km/h and the density of air is 1.2 kg m^{–3}. What is the electrical power produced?if kinetic energy of the body is increase by 300 percent then by what percent will its linear momentum increase

two vectors of equal magnitude have a resultant equal to either of them, then the angle between them will be equal to...?

A ball falls from a height such that it strikes the floor of lift at 10 m/s.If lift is moving in the upward direction with a velocity 1 m/s, then velocity with which the ball rebounds after elastic collision will be?

An elevator can carry a maximum load of 1800kg, is moving up with a constant speed of 2m/s. The frictional force opposing the motion is 4000N. Determine the minimum power delivered by the motor to the elevator in watts. (take g=9.8m/s

^{2}A chain of mass M is placed on a smooth table with 1/n of its length L hanging over the edge. The work done in pulling the hanging the portion of the chain back to the surface of the table is

a) MgL/n b)MgL/2n

C)MgL/n

^{2 }d)MgL/2n^{2}A ball is dropped vertically from rest at a height of 12m. After striiking the ground , it bounces back to a height of 9m. What fraction of kinetic energy does it lose on striking the ground?

Q. A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in fig.

If it starts its journey from rest x=0, its velocity at x=12 is

(1) 0 m/s

(2) $\sqrt[20]{3}\text{m/s}$

(3)$\sqrt[20]{2}\text{m/s}$

(4) 40 m/s

Give One Example Where Force Is Zero But Displacement Is There

(A) PROVE THAT IN CASE OF OBLIQUE ELASTIC COLLISION OF TWO PARTICLES OF SAME MASS IF ONE IS AT REST, AFTER COLLISION BOTH PARTICLES MOVES AT RIGHT ANGLE TO EACH OTHER.

What is the gravitational potential energy of a 61.2 kg person standing on the roof of a 10-storey

The potential energy of 1kg particle free to move along the x-axis is U(x)=x^4/4-x^2/2 J (x in meters). if the total mechanical energy of the particles is 2J find the maximum speed of the particle.

An electric motor is used to lift an elevator and its load (total 1500Kg) to a height of 20

m. The time taken for the job is 20 Sec. The efficiency of the motor is 75%. (i) What isthe work done? (ii) What is the rate at which work is done? (iii) At what rate is theenergy supplied to the motor?Derive an expression for the potential stored in a system of a block attached to a massless spring, when the block is pulled from its mean position.

Q3. two straight lines are drawn on the same displacement time graph make angles 30 degree & 60 degree with time axis respectively which line represents greater velocity ? what is the ratio of the two velocities ?

.

Q. WHAT DO YOU MEAN BY POSITIVE, NEGATIVE AND ZERO WORK DONE. GIVE AT LEAST ONE EXAMPLE OF EACH CASE.

when the tings is released, determine the tangential acceleration of the ring.

At the moment when a shotputter releases a 5.00 kg shot, the shot is 3.00 m above the ground and

Is there any formula for inelastic collision??????????????Solve this:Acceleration 'a' versus and potential energy 'U' versus x graph of a particle moving along x-axis is as shown in figure. Mass of the particle is 1kg and velocity at x = 0 is 4 m/s.

Column I Column II(A) kinetic energy at x = 8m (p) 120 J

(B) Work done by conservative force from x = 0 to x = 8m (q) 240 J

(C) Total work done from x = 0 to x = 8m (r) 128 J

(D) Work done by non-conservative forces from x = 0 to x = 8m (s) 112 J

(t) -120 J

A pendulum bob of mass 0.1 kg is suspended by a string of 1m long.The bob is displaced so that the string becomes horizontal and released. Find its kinetic energy when the string makes an angle of (i) 0

^{o}, (ii) 30^{o}with the vertical.