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If an angle of a parallelogram is two-third of its adjacent angle, then the smallest angle of the parallelogram is 72°. Adjacent angles exhibit a common side and a corner point.
Adjacent angles exhibit a common side and a corner point, although they do not overlap.
A parallelogram can be defined as a simple type of quadrilateral having two pairs of parallel sides.
A rectangle can in turn be defined as a parallelogram having four right angles (90°), thereby all rectangles represent quadrilaterals.
The sum of the adjacent angles of a parallelogram is equal to 180°.
In this case, we have that the sum of adjacent angles >> X + 2/3 X = 180° >> X = 108° >> 2/3 X = 72°
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Answer:
2440.24 J
Explanation:
Moment of inertia, I1 = 5 kg m^2
frequency, f1 = 3 rps
ω1 = 2 x π x f1 = 2 x π x 3 = 6 π rad/s
Moment of inertia, I2 = 2 kg m^2
Let the new frequency is f2.
ω2 = 2 x π x f2
here no external torque is applied, so the angular momentum remains constant.
I1 x ω1 = I2 x ω2
5 x 6 π = 2 x 2 x π x f2
f2 = 7.5 rps
ω2 = 2 x π x 7.5 = 15 π
Initial kinetic energy, K1 = 1/2 x I1 x ω1^2 = 0.5 x 5 x (6 π)² = 887.36 J
Final kinetic energy, K2 = 1/2 x I2 x ω2^2 = 0.5 x 3 x (15 π)² = 3327.6 J
Work done, W = Change in kinetic energy = 3327.6 - 887.36 = 2440.24 J
The displacement of the girl which the relative change in her position from her starting point. Therefore, the shortest distance between her initial and final position is 58.85 m North - West
From the sketch of the girls movement attached below, the displacement of the girl can be calculated thus :
Using Pythagoras :
Displacement, d = √(50² + 20²)
d = √(2500 + 400)
d = √2900
d = 53.851
Therefore, the displacement of the girl, which is the shortest distance between her current position and starting position is 53.85 meters NW.
Learn more :brainly.com/question/1021211
