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goblinko [34]
4 years ago
12

A particle is acted on by two torques about the origin: τ→1 has a magnitude of 8 N·m and is directed in the positive direction o

f the x axis, and τ→2 has a magnitude of 8.9 N·m and is directed in the negative direction of the y axis. In unit-vector notation, find d⁢ℓ→/d⁢t, where ℓ→ is the angular momentum of the particle about the origin.
Physics
1 answer:
lyudmila [28]4 years ago
5 0

To give solution to the exercise we must use the concepts of Torque, Vector magnitude and vector direction of the forces.

For the given problem we have to

T_i = 8Nm

T_j = -8.9Nm

In this way the torque acting on the particle as a function of distance and time is,

\tau = \frac{dL}{dt} = 8\hat{i}-8.9\hat{j}

The net torque acting on the particle is

\tau_{net} = \sqrt{T_i^2+T_j^2}

\tau_{net} = \sqrt{(8)^2+(-8.9)^2}

\tau_{net} = 11.967Nm

PART B) The direction of the torque is given by,

tan\theta = \frac{y}{x}

\theta = tan^{-1}\frac{y}{x}

\theta = tan^{-1}(\frac{-8.9}{8})

\theta = -48.04\°

Therefore the torque direction is 48.04° below the x axis.

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amm1812
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buena suerte y tuve que traducir esto
7 0
3 years ago
a stone is thrown vertically upwards with a velocity of 20 m per second determine the total time of flight of stone in air​
miv72 [106K]

Answer:

Explanation:

The best way to do this is to remember the rule about the halfway mark in a parabolic path. At a trajectory's half way point in its travels, it will be at its max height. To get the total time in the air, we take that time at half way and double it. Here's what we know that we are told:

initial velocity is 20 m/s

Here's what we know that we are NOT told:

a = -9.8 m/s/s and

final velocity is 0 at an object's max height in parabolic motion.

We will use the equation:

v=v_0+at where v is final velocity and v0 is initial velocity. Filling in:

0 = 20 + (-9.8)t and

-20 = -9.8t so

t = 2 seconds. The stone reaches its max height 2 seconds after it is thrown; that means that after another 2 seconds it will be on the ground. Total air time is 4 seconds.

8 0
3 years ago
The following three questions refer to a situation in which a driver is in a car that crashes into a solid wall. The car comes t
Andreas93 [3]

Answer:

1) p₀ = 45000 N / s ,   p₀ '= 1800 , b)  I = -45000 N s ,  I = 1800 Ns

Explanation:

Impulse equals the change in momentum

         I = Δp

1) the initial moment of the car

         p₀ = M v

          p₀ = 1500 30

          p₀ = 45000 N / s

the change at the moment is

          Δp = 45000

because the end the car is stopped

moment of the person

          P₀ ’= m v

         p₀ '= 60 30

          p₀ '= 1800

          D₀ '= 1800

2) of the momentum change impulse ratio

        car

              I =  Δp

              I = -45000 N s

        person

              I = Δpo '

              I = 1800 Ns

3) the object that give the momentum to stop the wall motoring

The person is stopped by the impulse given by the car

a) This area is the one that absorbs most of the vehicle impulse

be) If using a safety painter, the time during which the greater force will act, therefore the lessons decrease

c) The air bag helps reduction in the speed of the person relatively quickly.

6 0
4 years ago
9. What is the total kinetic energy (KEtran + KErot) of a solid cylinder with mass M = 2.50 kg and radius R = 0.5 m that rolls w
GarryVolchara [31]

Answer:

110.25 J

Explanation:

We are given that

Mass,M=2.5 kg

Radius,R=0.5 m

Distance,d=4.5 m

Initial speed,u=0

We have to find the total kinetic energy

According to law of conservation of energy

Total kinetic energy=Potential energy=mgh

Where g=9.8m/s^2

Using the formula

Total kinetic energy=2.5\times 9.8\times 4.5

Total kinetic energy=110.25 J

4 0
3 years ago
What is momentum <br>what is momentum in words​
Artist 52 [7]

Answer:

It's a strength or force

Explanation:

the quantity of motion of a moving body, measured as a product of its mass and velocity

5 0
3 years ago
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