Answer:
T = 153.72 N
Explanation:
For this exercise we must use the conditions of translational and rotational equilibrium.
Let's set a frame of reference on the hinge, start by writing the rotational equilibrium relationship, suppose counterclockwise rotation is positive
We look for the components of the cable tension with trigonometry
cos 37 = Tₓ / T
sin 37 =
/ T
Tₓ = T cos 37
T_{y} = T sin 37
the expression for rotational equilibrium is
T_{y} L + Tₓ 0 - W L / 2 - W_light 0.55 = 0
where L is the length L= 1.8 m,
T_{y} = (W L/2 + W_lght 0.55) / L
T sin 37 = Mg /2 + m_light g 0.55 / L
T = (M / 2 + m_light 0.55 / L) g / sin 35
let's calculate
T = (15/2 + 4.9 0.55 / 1.8) 9.8 / sin 35
T = 153.72 N
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Answer:
Danny hits the water with kinetic energy of 5000 J.
Explanation:
Given that,
The Weight of Danny Diver,
F = 500 N
m*g= 500 N
He steps off a diving board 10 m above the water.
h=10 m
when Danny diver hits water he generates the kinetic energy.
We need to find the kinetic energy of the water.
Let kinetic energy is K.
K = m*g*h
Where g is acceleration due to gravity.
that g= 9.8 m/s^2
now substituting the values in above equation
K= (500) * 10
K= 5000 J
Hence,
he hits the water with kinetic energy of 5000 J.
Learn more about Kinetic energy here:
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Answer:
1) 0.51 seconds.
2) 1.45 m/s.
Explanation:
given, height from which cat falls = 1.3 m
we know that, s = ut +
at².
here if we consider cat moment only in downward direction,
intial velocity of cat in downward direction , u = 0.
so, time, t =
.
⇒ t =
= 0.51 seconds.
t = 0.51 seconds.
now, consider cat moment only in forward direction
s = ut , since acceleration is zero in forward direction
⇒ u =
.
so, u =
= 1.45 m/s .