AKU Physics Solution Paper Code-101101

Physics (Mechanics & Mechanics of Solids) Solution

[AKU Paper Code 101101 Question No. 2 (A) 2019] Solution

Q.(2A) State triangle law of forces and Lami’s theorem.

Triangle Law Of Forces :

Triangle law of forces states that, If two forces acting at a point are represented in magnitude and direction by the two adjacent sides of a triangle taken in order, then the closing side of the triangle taken in the reversed order represents the resultant of the forces in magnitude and direction.

Formula :

a / sin A = b / sin B = c / sin C where, a,b,c = sides of a triangle A,B,C = angles between sides of a triangle

Lami’s Theorem Statement

Lami’s Theorem states, “When three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two forces. Expressed as

[AKU Paper Code 101101 Question No. 2 (B) 2019]

Q.(2B) If a vector of magnitude A is rotated through certain degree, then what is the change in that vector? Explain.

Sol:-  As the vector has been rotated by angle theta,
Let the final vector be called as vf , while the initial being vi
The magnitude of change in vector is | v – vi | = ( vi2 + vf2 – 2vivfCos(theta))^0.5
as the magnitude is same say ‘v’
thus the expression reduces to 2vSin(theta/2)
Kindly note that change in magniyude is zero while magnitude of change in vector is 2vSin(theta/2)

 

[AKU Paper Code 101101 Question No. 2 (C) 2019] Solution

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[AKU Paper Code 101101 Question No. 3 (A) 2019]

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[AKU Paper Code 101101 Question No. 3 (B) 2019]

Q.(3B) Explain the conservative and non-conservative forces with examples.

CONSERVATIVE FORCES

The Conservative Force is a Force whose Work done is independent of the Path taken and depends only on the Initial and Final position of the object acted upon. E.g. Gravitational Force, Electrostatic Force, etc.
NON-CONSERVATIVE FORCES:
A Non-Conservative force is a force whose work done is dependent of the path taken. E.g. Frictional force, air resitance force, etc.
CONSERVATIVE AND NON-CONSERVATIVE FORCES CAN ALSO EXPLAIN BY

If work done by any force in a closed path is zero then the force is conservative else it would be non-conservative.

[AKU Paper Code 101101 Question No. 4 (B) 2019]

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[AKU Paper Code 101101 Question No. 5 (A) 2019]

Q.(5A) How does Foucault pendulum. Explain Earth’s rotation?

A freely swinging pendulum that consists of a heavy weight hung by a long wire and that swings in a constant direction which appears to change showing that the earth rotates. At the north or south pole, the pendulum is moving in a fixed plane (if we disregard the fact that the Earth is also revolving through space), so the plane of the pendulum seems to rotate through 360° as the Earth makes one full rotation.

 

[AKU Paper Code 101101 Question No. 5 (B) 2019]

Q.(5C) Describe the centripetal and Coriolis acceleration?

Coriolis acceleration is the acceleration due to the rotation of the earth, experienced by particles (water parcels, for example) moving along the earth’s surface.  Coriolis acceleration is generated by the eastward rotation of the earth around the N-S axis

 

[AKU Paper Code 101101 Question No. 5 (C) 2019]

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[AKU Paper Code 101101 Question No. 6 (B) 2019]

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[AKU Paper Code 101101 Question No. 7 (A) 2019]

Q. Show that if the total linear momentum of a system of particles is zero, the angular momentum of the system is the same around all origins.

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[AKU Paper Code 101101 Question No. 8 (A) 2019]

Q. A mouse sits at the edge of a 40cm diameter record, rotating on a turntable at fifteen revolutions per minute. If the mouse walks straight inwards to a point 10cm from the center, what will be its new angular velocity? Assume the mass of the record is negligible.

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[AKU Paper Code 101101 Question No. 9 (A) 2019]

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[AKU Paper Code 101101 Question No. 9 (B) 2019]

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