Using the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: ?? = −2.70 ?; ? = 220.0 degreees Force 2: ?? = 3.20 ?; ? = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.

Question
Asked Nov 14, 2019
22 views

Using the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: ?? = −2.70 ?; ? = 220.0 degreees Force 2: ?? = 3.20 ?; ? = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.

check_circle

Expert Answer

Step 1

a)

Force in x direction is f cosθ

F Fcose
= (-2.7) (cos 220)
= 3.52N
=3.52 cos 220i+sin220j
help_outline

Image Transcriptionclose

F Fcose = (-2.7) (cos 220) = 3.52N =3.52 cos 220i+sin220j

fullscreen
Step 2

Force is given by the equation F=mg. Rearrange this equation and write in terms of m.

3.52N
9.8m/s
=0.358kg
help_outline

Image Transcriptionclose

3.52N 9.8m/s =0.358kg

fullscreen
Step 3

Force in y direction i...

F
3.2 sin (60)
= 3.69N
3.69 cos 60i+sin60
3.69N
m
9.8m/s
= 0.376kg
help_outline

Image Transcriptionclose

F 3.2 sin (60) = 3.69N 3.69 cos 60i+sin60 3.69N m 9.8m/s = 0.376kg

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A 7.17 g pellet is shot horizontally from a BB gun at a speed of 24.8 m/s into a 28.7 g wooden block...

A: Calculate the final velocity of the wooded block with pellet after collision.From the conservation o...

question_answer

Q: A 280 Ω resistor and a 600 Ω resistor are in series. When this combination is connected across a 12-...

A: Given,

question_answer

Q: A pair of in-phase stereo speakers is placed side by side, 0.704 m apart. You stand directly in fron...

A: It is given that the distance between the two speakers arranged side by side is 0.704m and the dista...

question_answer

Q: 29.7       The current in the long, straight wire AB shown in Fig. E29.7 is upward and is increasing...

A: Click to see the answer

question_answer

Q: 29.14     A flat rectangular coil of dimensions l and w is pulled with uniform speed v through a uni...

A: a)Formula to calculate the magnetic flux is, where B and A are perpendicular to each other

question_answer

Q: A single conservative force acts on a 5.7ˍkg particle. The equationFx=(2.3x+3.7)N describes the forc...

A: The formula to calculate the work done by the force in x- direction

question_answer

Q: 29.33     A 0.250-m-long bar moves on parallel rails that are connected through a 6.00-Ohm resistor,...

A: Click to see the answer

question_answer

Q: A sandbag is motionless in outer space. A second sandbag with 2 times the mass moving at 9 m/s colli...

A: Given information:Mass of moving sandbag (m1) = 2mMass of the stationary sand bag (m2) = mVelocity o...

question_answer

Q: 13. A rifle bullet with mass 8.00 g strikes and embeds itself in a block with a mass of 0.992 kg tha...

A: Given,