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 Discussion Forums -> This Post 10 points    (2    in 2 votes )   [?]

I solved this problem and is a little lengthy. I am getting

I will send you complete solution later on.

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

 Discussion Forums -> This Post 5 points    (1    in 1 votes )   [?]

This is easy to solve. Let the initial and final position of COM of the system from pulley are Yc0 and Yc1 which can be found to be :

Applying conservation of energy:

Solving above above equation for v:

we get:

 Discussion Forums -> This Post 10 points    (2    in 2 votes )   [?]

Let velocity at when it is moving verticle is v,

.......................................(1)

Hence

Normal component of accn is given by

Tangential Component= g

Hence resultant accn is

 Discussion Forums -> This Post 5 points    (1    in 1 votes )   [?]

When energy stored in inductor is maximum , at that time energy stored in capacitor is zero and vice versa, hence

Hence

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Put values of Delta L/L= 2% , you will get answer

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Let engine of the train passes the point with velocity v and its end passes the same point with velocity u. Length of the train is L.

...............................(1)

Let mid point passes with velocity Vm :

...................(2)

Eliminate L from (1) and (2)

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Let deceleration when going up is a1 and acceleration when coming downward a2

Let the block is thrown upward with velocity v, and distance travelled upward is s

.......................(1)  when going upward.

.........................(2)

.................................................(3)

t2=2t1

Implies that

Put value of a2 and a1 we get

= 0.16

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Let us apply priciple of conservation of energy.

...................(1)               where m1 is mass of cylinder when radius is r/2 and Ic is moment of Inertia about an axis passing through point of contact.

m1= m/4

Now put m1 and Ic in equation (1) and find     w

Then V=wr/2  you will get:

Ans

 Discussion Forums -> This Post 5 points    (1    in 1 votes )   [?]

V=LdI/dt +IR

Solve above equation for I

where E is magnetic energy at any intant t

where Em is max energy and Im is max current

Hence E= Em/4

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Engineering Mechanics by Bear n Jonson

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Ha/Hb=a2/a1       where a1 decceleration of A and a2 is that of B

Since a2<a1

Hence Hb>Ha

Ans is C

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Mass B will go higher than A

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Force inversely proportion to the square root of time

where k is a constant and m is mass

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

The resultant velocity of end B is along a direction perpendicular to the rod. Since block is moving in horizontal direct with contstant velocity, hence

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Miss Shivani

Its my wise advice to you to kindly first develop fundamentals. You must be able to solve such simple problems on your own.

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

At Earth surface:

At height h:

From above equation we find             h=3R

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Linear velocity V=wR

E1  =

Total KE= E2  = 0.5( )       where R is radius of ball(not radius of gayration)

E1/E2    / ()  =

Total Energy=

 Discussion Forums -> This Post 0 points    (0    in 0 votes )   [?]

Since all forces are internal , hence apply conservation of linear momentum on center of mass.

Let mass of the whole system is m

m(0)= mv

v=0 where v is velocity of COM

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