1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Klio2033 [76]
3 years ago
11

Determine the magnitude of force F so that the resultant FR of the three forces is as small as possible.

Physics
1 answer:
Kamila [148]3 years ago
8 0

Answer: FR=2.330kN

Explanation:

Write down x and y components.

Fx= FSin30°

Fy= FCos30°

Choose the forces acting up and right as positive.

∑(FR) =∑(Fx )

(FR) x= 5-Fsin30°= 5-0.5F

(FR) y= Fcos30°-4= 0.8660-F

Use Pythagoras theorem

F2R= √F2-11.93F+41

Differentiate both sides

2FRdFR/dF= 2F- 11.93

Set dFR/dF to 0

2F= 11.93

F= 5.964kN

Substitute value back into FR

FR= √F2(F square) - 11.93F + 41

FR=√(5.964)(5.964)-11.93(5.964)+41

FR= 2.330kN

The minimum force is 2.330kN

You might be interested in
What is the mass of an object that requires a force of 30 N to accelerate at a rate of 5 m/sec2 ?
Anastaziya [24]
M=F/A
Which means 30 divided by 5 m/s is 6kg(mass)
8 0
3 years ago
HELP I WILL GIVE BRAINLIEST!
Ann [662]

Answer:

Answer:B

Explanation:

Because it all stayed consistant

4 0
2 years ago
A 375-pound concrete cylinder has a base area of 144 square inches. with the cylinder resting on its base, the pressure exerted
Akimi4 [234]

The pressure exerted by the concrete cylinder is 2.60 pound/in².

We need to know about the pressure to solve this problem. Pressure is a unit that describes how much force is applied to a surface area. It can be determined as

P = F / A

where P is pressure, F is force and A is area.

From the question above, we know that

F = 375 pound

A = 144 in²

By substituting the given parameters, we can calculate the pressure

P = F / A

P = 375 / 144

P = 2.60 pound/in²

Thus, the pressure should be 2.60 pound/in².

Find more on pressure at: brainly.com/question/25965960

#SPJ4

6 0
1 year ago
What type of image is formed by a mirror if m= -6.1?
mrs_skeptik [129]
I Think The answer is a I hope it helps My friend Message Me if I’m wrong and I’ll change My answer and fix it for you
5 0
3 years ago
Where is a water or a mechanical wave in which the particles in the medium move in a direction perpendicular to the direction of
horrorfan [7]

transverse waves. ripples on water surface

6 0
3 years ago
Read 2 more answers
Other questions:
  • Of the following nonmetals which is the least reactive A.S B. Cl C. Br D. Se
    11·1 answer
  • The Hubble Space Telescope (HST) orbits 569 km above Earth’s surface. If HST has a tangential speed of 7,750 m/s, how long is HS
    8·2 answers
  • To run the physics cart, the fan speed of the cart is manipulated. This is the variable. The cart accelerates due to the speed o
    5·2 answers
  • For a projectile, why is the initial horizontal velocity equal to the final horizontal velocity?
    14·1 answer
  • How does knowledge of the energy content of food help diabetics make smart choices
    8·1 answer
  • What is the average access time for a hard disk spinning at 360 revolutions per second with a seek time of 10 milliseconds?
    15·1 answer
  • In the simulation, both elastic and inelastic collisions take the same amount of time. In which type of collision is the acceler
    9·1 answer
  • Sound waves rely on matter to transmit their energy. They cannot ravel in a vacuum. True or false
    5·2 answers
  • A potted plant falls from a window sill and is gaining speed. which one of the following statements is true of the plant?
    9·1 answer
  • 11 points!!! <br>what happened when glucose reacts with air? ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!