Answer:

Explanation:
For this interesting problem, we use the definition of centripetal acceleration
a = v² / r
angular and linear velocity are related
v = w r
we substitute
a = w² r
the rectangular body rotates at an angular velocity w
We locate the points, unfortunately the diagram is not shown. In this case we have the axis of rotation in a corner, called O, in one of the adjacent corners we call it A and the opposite corner A
the distance OB = L₂
the distance AB = L₁
the sides of the rectangle
It is indicated that the acceleration in in A and B are related
we substitute the value of the acceleration
w² r_A = n r_B
the distance from the each corner is
r_B = L₂
r_A =
we substitute
\sqrt{L_1^2 + L_2^2} = n L₂
L₁² + L₂² = n² L₂²
L₁² = (n²-1) L₂²
Answer:
This is because using a long handled requires less force to the center of gravity and makes it easier to rotate than a short handled spanner
Answer:
Speed will be equal to 1.40 m/sec
Explanation:
Mass of the rubber ball m = 5.24 kg = 0.00524 kg
Spring is compressed by 5.01 cm
So x = 5.01 cm = 0.0501 m
Spring constant k = 8.08 N/m
Frictional force f = 0.031 N
Distance moved by ball d = 15.8 cm = 0.158 m
Energy gained by spring

Energy lost due to friction

So remained energy to move the ball = 0.0101 - 0.0048 = 0.0052 J
This energy will be kinetic energy


v = 1.40 m/sec
Working of a Half wave rectifier
The diode is connected in series with the secondary of the transformer and the load resistance RL. The primary of the transformer is being connected to the ac supply mains. The ac voltage across the secondary winding changes polarities after every half cycle of the input wave.
Answer:
49.63 degree
Explanation:
thickness of glass slab, t = 0.6 cm
angle of incidence = 59 degree
Let r be the angle of refraction
The refractive index of glass, ng = 3/2
refractive index of water, nw = 4/3
refarctive index of glass with respect to water = ng / nw = 3 /2 ÷ 4 /3 = 9 / 8
So, by use of Snell's law
Refractive index of glass with respect to water = Sin i / Sin r
9 / 8 = Sin 59 / Sin r
9 / 8 = 0.857 / Sin r
Sin r = 0.7619
r = 49.63 degree