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

This much joule of heat is generated

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

Average force= Area under the given curve/ total time T

Force

Now if anyone to involve F in the result then it can be manulated by substituting T/2 = F

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

Relative velocity of ball in y-direction(Vertically upward):

Relative acceleration of ball in y-diection(Vertically downward):

Applying

but relative height covered by ball is Zero i.e.   h=0

Hence

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

From FBD of block:

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

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

From FBD of wedge:

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

Solving for a12

Length of the wedge surface

For minimum Vo, block should stop at L

Substituting V12, L and a12 we get:

NOTE: I AM QUITE SURE ANSWER CAN NOT BE IDEPENDENT OF ANGLE OF T HE WEDGE

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

Let us make a few assumptions before solving the problem as stated below:

1. After collision the block moves along the surface of wedge with respect to it.

2. The wedge moves in horizontal direction.

Let us assume x-aixis along the surface of wedge and y-axis along normal to the surface of wedge.

From FBD of block:

Applying conservation of momentum along x-axis:

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

Along y-axis:

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

From FBD of wedge:

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

Solving above equations for V12 we get

:

Once relative velocity of block with respect to wedge is found at t=0, now we will try to find Relative acceleration of block wrt wedge.

See next part of solution.

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

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

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

dy/dx = 2/y .................(1)

r=(1-x)i -y j

Putting all values r , dl etc we get

Integrating dB , x=0 , x= infinity and multiplying the result by 2 we get

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

tan@=y/x

x=yCot@

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

now put the value r0

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

now put the value r0

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

now put the value r0

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

Let a1 is acceleration of block-1 and block-3 and a2 is acceleration of block-2.

From FBD:

Solving above equations for a1 and a2 we get:

Distance travelled by Block-1:

Distance travelled by Block-2:

But

Hence

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

Sorry I foregot that mass of B is M, just replace m by M of Vbx in equation (2) and solve

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

Let they are placed r meter apart,

F=kq1(q-q1)/r^2

dF/dq1= k(q-2q1)/r^2 =0 for F maximum

Hence q1/q= 0.5  Ans

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

Let the velocity of sphere A is V0 before impact , Vax and Vay are the X and Y components of Sphere-A after impact. Vbx is velocity of Sphere B after ipmact. Since there is no impulsive force along Y-axis, hence Velocity in Y-direction is not affected at all(Since balls are smooth).

Apllying conservation of Linear momentum along x and y axis:

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

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

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

Solve above equations for Vbx

we get            Ans

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

Fundamental mistake by Anitha is "Conservation of Energy" Here its an inelastic collision, hence energy is niever conserved. Secon mistake is the assumtion that verticle component of velocity is zero. If verticle component is zero how the smaller block will reach the height h.

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

INFORMATION IS INCOMPLETE. FIRST WHETHER TUBE IS IN VERTICLE PLANE, WHAT IS R. PLEASE ENCLOSE FIGURE.

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

Mr Anirban is my answer is correct?? I hope it must be correct.

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

Let us apply Kirchoff's loop(current) law and assume all current is flowing from positive to negative terminals. Since C1 and C4 are parallel to voltage source , hence voltave across them are 20V and 10V respectively.

Since current through C2 and C3 are equal hence:

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

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

Solving above equations

Vc3=3V

Vc2=7V

Vab=Vc4+Vc2= 17V   Ans

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