Part F - Example: Finding Two Forces (Part I)Two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. The block in (Figure 1) has a mass m = 10 kg and is being pulledby a force F on a table with coefficient of static friction μ = 0.3. Four forces act on it:• The applied force F (directed 0: 30° above the horizontal).• The force of gravity Fg = mg (directly down, where g = 9.8 m/s²).• The normal force N (directly up).• The force of static friction fs (directly left, opposing any potential motion).If we want to find the size of the force necessary to just barely overcome static friction (in which case fs = μs N), we use the condition that the sum of the forces in both directions must be 0. Usingsome basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as:●F cos 0 μs N=0F sin 0+N-mg = 0In order to find the magnitude of force F, we have to solve a system of two equations with both F and the normal force N unknown. Use the methods we have learned to find an expression for Finterms of m, g, 0, and μs (no N).Express your answer in terms of m, g, 0, and µs .View Available Hint(s)F =μg mgcose+μ, sineSubmitPrevious AnswersCorrect Part G - Example: Finding Two Forces (Part II)For the situation in Part F, find the magnitude of the force F (in kg · m/s²) necessary to make the block move.► View Available Hint(s)F =SubmitVE ΑΣΦ?kg m/s²

Answered: Image /qna-images/answer/0f31f626-b076-429f-8561-ecccac4f29f7.jpg

Answered: For the situation in Part F, find the…

For the situation in Part F, find the magnitude of the force F (in kg. m/s²) necessary to make the block move. ► View Available Hint(s) F = VO ΑΣΦ ? kg. m/s²

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Suppose that F, 260 N. (Egure 1) Figure F₁-400 N 90 F₂=200 N 150 Fy 1 of 1 Part A Determine the…

A: The sum of the vectors A→=Ax i^+Ay j^ and B→=Bx i^+By j^ is given as, S→=A→+B→=(Ax+Bx) i^+(Ay+By) j^…

Q: In (Figure 1), block A weighs 15 lb, and block B weighs 8 lb. Figure 15 1 of 1 Part A If a…

Q: 3. Calculate the resultant force. Express the answer in terms of unit vector.

A: The given forces can be represented in component form as,

Q: a forces. F, and F of magnitude 60 and 70 pounds, respectively, act on an object The direction of F,…

A: Given:- Two force F1= 70 lb with angle N40oE F2 = 60 lb with angle N40oW Find:- The resultant force…

Q: Three forces are applied to a tree sapling, as shown in (Figure 1), to stabilize it. Suppose that FA…

A: Given value of forces FA→=345 NFB→=535 N From the given diagram the angle between FB and…

Q: > In (Eigure 1), coordinate direction angles for F3 = 900 lb are a 110°, B=50°, and y= 65° Figure…

Q: Observe the following set of data for measuring a 4kg grocery bag.Identify whether the data is…

A: Accuracy and precision are two different things. Often they are misinterpreted with each other.…

Q: Two forces are applied to an object, and have been arranged tip to tail for your convience in the…

Q: The two forces F₁ and F2 acting at A in (Figure 1) have a resultant force of FR = {-80k} lb. Figure…

A: Given that two forces, act at point A and produce a resultant force we need to find:Expression…

Q: P1-2 Determine the magnitude of force F so that the resultant FR of the three forces is as small as…

Q: Refer to the attached diagram, given that F1 = 390 N, F2 = 167 N, angle a = 36 degrees, angle b = 54…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Assume the following forces are acting on an object: F₁ = 40N at 165 degrees F2= 45N at 240 degrees…

A: The forces acting on the object are:The free-body diagram is;

Q: Two forces meet at a point. Use the graphical technique (vector triangle) to find the resultant…

A: According to the question two forces are given F1=150kN at 22 deg with horizontal F1=110kN at…

Q: Calculate the value of the angle a in Figure Q1(b) that will minimize the magnitude of the force P…

Q: Please help. Written on paper not typed on computer please. Need help on all questions. Please…

Q: Q1\ Determine the ratio of the force exerted by the sun on the moon to that exerted by the earth on…

Q: Let A = 4î - 2ĵ, B = −3î +5ĵ, and Ē = 2Ã + 3B. What is the magnitude of vector E? E= Submit - ΑΣΦ…

Q: Download sics_practi....docx ?dl=0&preview=(B)+Unit_GWs+and+Test_(carpet).pdf Two forces are applied…

Q: envellum.ecollege.com/course.html?courseld%3D17300845&OpenVellumHMAC%3Dcc09ca6aef035d3e64ccadOcf3d5e…

Q: Two forces Fa =197 lb and FR =255 lb are acting on the bracket shown with axes x,y,v and w…

A: Given FA = 197 lb FB = 255 lb Angle c = 17 degrees Angle d = 9 degrees Angle f = 16 degrees Angle g…

Q: Figure E 4 ft -X P -2ft- B ISAS T 2 ft 3 ft < 1 of

A: P = 660 lb.

Q: Problem A Use the given coordinate system and dimensions to perform the following calculation. The…

A: Let θ denotes the angle of the force line with the positive x-axis, β denotes the angle of the line…

Q: Three force vectors act on an object as shown in the figure. The magnitudes of the forces as shown…

Q: Find the resultant force with a scale of 1 unit = 100 N. Show the answer. A. 200 N, 45 deg. South…

A: We first split the forces into perpendicular components in the X- and Y-axes. We then find the net…

Q: Six vectors are shown below. ン Select all vectors which have the same magnitude.

A: The quantities which has both magnitude and direction are called vectors. A vector has a head and a…

Q: The magnitude of a force vector F is 84.3 newtons (N). The x component of this vector is directed…

A: Given:- The magnitude of the force vector F→= 84.3 N The x component of the force vector is Fx=…

Q: What is the x component of the resultant force? Part B: What is the y component of the resultant…

Q: Block I and II weigh .260 kilograms each. Block III weighs .010 kilograms. Calculate the magnitude…

Q: Consider the diagram in given image. GIVEN: Q1 = +5.00x10-7 C; Q2 = +4.00x10-7 C; Q3 = -8.00x10-7 C;…

Q: Consider (Eigure 1) Assume F-380 N Figure 3 m 4 m Y Part A Determine the moment of force F about…

Q: Express the Force F as a Cartesian vector. (2 coordinate direction angles given) a) {300.0i+250.0j…

A: 2 out of three direction angles are given. The direction angles are give by the forumula,where are…

Q: Question 1: Complete the calculations of the table based on the data given below Test No Weight (N)…

Q: Draw the following vector. Determine the resultant vector. (scale: 1cm = 10 mm) or make your own…

A: Write the vectors A, B and C. A=4cos40i+4sin40jB=-3cos40i+3sin40jC=3.5cos45i+3.5sin45j

Q: Express the forces F₁, F2 in vector form. Determine the vector expression for the resultant R of two…

Q: 1. The block in the figure to the right remains motionless against the wall because of an applied…

Q: Figure < 1 of 1 F1 45° 30° F2 = 150 N %3D

A: F1=290 NF2=150NResolving forces F1 and F2 in xand y components,F1x=F1 sin45°=290×12=205.06NF1y=F1…

Q: 56. A forklift is used to offload freight from a delivery truck. Together the forklift and its…

A: a. The force vector in terms of i and j can be represented as shown below.…

Q: A variable force F(x)=Ax2-Bx acts on an object. The units of F(x) are N and the values of A and B…

Q: A force F1 of magnitude of 5 N is directed in 25 degrees East of South, and a force F2 of magnitude…

Q: 1. Give the x and y components vectors of the given vectors. 25 N@52° a) X-Comp= y-comp= b) 72…

Q: F₁= 200 N 30° above +x F₂= 200 N, 37° below +x 1. What are the components of F₁? a. x = 173.2 N, y =…

Q: Look at the diagram. A person is pulling a rope with a force of 436.5 N in the direction of 13.7…

A: Given: F=436.5N, θ=13.7° The component of the force acting in the x-direction is :…

Q: 1.38) To move the oil drum, the resultant of the three forces shown must have a magnitude 500N. of…

Q: Figure 4 the F 130° 5 3 of 3 ▼ Part C Evaluate the dot product of the vectors in (Figure 3). Express…

A: The dot product of two vectors and is given by, is the angle between the directions of and .

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

Part F - Example: Finding Two Forces (Part I)
Two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. The block in (Figure 1) has a mass m = 10 kg and is being pulled
by a force F on a table with coefficient of static friction μ = 0.3. Four forces act on it:
• The applied force F (directed 0: 30° above the horizontal).
• The force of gravity Fg = mg (directly down, where g = 9.8 m/s²).
• The normal force N (directly up).
• The force of static friction fs (directly left, opposing any potential motion).
If we want to find the size of the force necessary to just barely overcome static friction (in which case fs = μs N), we use the condition that the sum of the forces in both directions must be 0. Using
some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as:
●
F cos 0 μs N=0
F sin 0+N-mg = 0
In order to find the magnitude of force F, we have to solve a system of two equations with both F and the normal force N unknown. Use the methods we have learned to find an expression for Fin
terms of m, g, 0, and μs (no N).
Express your answer in terms of m, g, 0, and µs .
View Available Hint(s)
F =
μg mg
cose+μ, sine
Submit
Previous Answers
Correct

Part G - Example: Finding Two Forces (Part II)
For the situation in Part F, find the magnitude of the force F (in kg · m/s²) necessary to make the block move.
► View Available Hint(s)
F =
Submit
VE ΑΣΦ
?
kg m/s²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given:

VIEW

Step 2: Calculating the applied force:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

ABC is an equilateral triangle. La-Lac=Lca=1.2 m. Find the resultant for the force system that is applied on this triangle. 1200N B 3000 N 4100 N
A P. Find the magnitude and direction of the resultant of the two forces shown knowing that P = 300 N and Q = 400 N. OA = 10 ft, AB = 5 ft, BC = 8 ft, OD = 4 ft, B = 30°
= 172.54(sin sin 40° ) +186.92(cos cos 45° )T, = 243.08 N SAMPLE PROBLEM 2 (equilibrium involving an inclined plane) A block resting on a plane inclined at an angle, e, of 42° from the horizontal is being held in place by a steel cable. The tension on the cable wire is 67.0 N. Figure 8. Block on an inclined plane held in place by a steel cable. a. Determine the normal force Nand the force due to gravity F- b. What is the mass of the block in kilograms?
F1 F2 Given that F1 825 N, F2 = 630 N, and a = 32° , determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. . The magnitude of the resultant force in N is (round to two decimal places) : N The direction of the resultant force in degrees is (round to two decimal places) : degrees
Figure x Part A - Moment due to a force specified by magnitude and endpoints F As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) VE ΑΣΦ ↓↑ vec Mo 0.013,97.9, - 196 Submit The force has magnitude F = 140 N and is directed as shown. The dimensions are x₁ = 0.450 m, x₂ = 1.70 m, y₁ = 2.60 m, and z₁ = 1.30 m. B What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Previous Answers X Incorrect; Try Again; 4 attempts remaining 1 of 3 ? i, j, k] N · m
I need help with a - c, thanks
Please give the correct answer
1.8.4. Forces F, = 12 N, 0, = 0 and F2 = 12 N, 0, = -0 act at the origin. Their resultant force F = 9 N is along the +x-direction. A. Setup with a labeled diagram showing F, F1, F1y, F2, F2y. b. Calculate the magnitude of the angle 0 that F, and F, make with the +x-axis. 1x3 2x9
Q2
Determíne the resultant R of the two forces shown by (a) applying the ort parallelogram rule for vector addition and (b) summing scalar components. Ans. 872 N
Please provide the correct answer