Question

A:

Moment arm of the force

In the figure, the dashed line extending from the force vector F is called the line of action of F. The force’s moment arm is the perpendicular distance rm from the pivot point P to the line of action.

What is rm, the length of the moment arm of the force F about point P?

Express your answer in terms of r and θ.

Find the moment M about P due to F. Your answer should correctly express both the magnitude and the sign of M.

Express your answer in terms of either rm and F or r, θ, and F.

B:

As shown (Figure 2), resolve the force vector, F, into radial (parallel to r) and tangential (perpendicular to r) components. Find the magnitude of the radial and tangential components, Fr and Ft. Assume that θis between zero and 90 degrees.

Express your answers in terms of F and  θ

                                                                                                                                 

 

Is the following statement true or false?

The moment about point P is proportional to the length r of the position vector, r.

true

false

 

Is the following statement true or false? 

Both the radial and tangential components of F generate moments about point P.

true

false

 

Is the following statement true or false?

In this problem, the tangential force vector would tend to rotate an object clockwise around pivot point P.

true

false

 

Find the moment M about the pivot point P due to the force F. Your answer should correctly express both the magnitude and sign of M.

Express your answer in terms of either Fr and r or F, θ, and r.

 

 

 

 

Expand
F,
г
х
F,
View transcribed image text
Expand

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Engineering
Mechanical Engineering

Related Mechanical Engineering Q&A

Find answers to questions asked by students like you.

Q: Specifically a dynamics problem: A particle travels along a straight line such that its position is ...

A: Click to see the answer

Q: 1: A weight of 12 Newtons in hung from a spring. The spring deflects 8 cm. What is the spring consta...

A: Click to see the answer

Q: On drawing 31A063, what is dimension A in mm?   All abbreviations are standard

A: Consider the diagram shown below for the pivot arm. It is required to determine the length of the a...

Q: A two-phase mixture of steam and water with a temperature of 160°C and a quality of 0.6 is contained...

A: Given data,  

Q: Specifically a dynamics problem. Question in pic below.

A: Given data as per question Velocity of bullet = 400 m/s Mass of the block = 2 kg Mass of the bullet ...

Q: (Mechanics and Materials Class) Problem 73: Find the reactions at the supports, and find the shear f...

A: Given: The cantilever beam having varying distributed load of 8.4 kN/m as shown in figure 1 part (a)...

Q: Project 3: It is vital to optimize the heat loss from a house through well designed composition and ...

A: Inside room has higher temperature and transfer of heat will be from inside of the room to the outsi...

Q: The ramp is used as passengers board a small commuter airplane. The total mass of the ramp and six p...

A: Take (RA)H and (RA)V as the horizontal and vertical reactions at point A. Also, take (RC)H and (RC)V...

Q: Problems 5-111 through 5-116 Figures P5-111 through P5-116 show completed shearing force diagrams fo...

A: The shear force diagram is shown as below,  

Q: Direct a key d the Hub Shear plane Hub Key F2 y, or anical F1 T=Torque Shaft T=F(D/2) F = Force of s...

A: Given data as per question b= 1/2in l = 2.25in h= 3/8in force = 8000lb.in shaft diameter = 2.0 in

Q: 6. A mass of 0.20 kg of metal having a temperature of 100 deg. C is plunged into 0.04 kg of water at...

A:     Use the concept of calorimetry which states that heat loss by metal is equal to heat gain by wat...

Q: On the attached drawing 11A015, what is dimension A?

A: The dimensions of A in the drawing is in the front view.  

Q: The drain on a large tank of liquid consists of a ball valve with a 2 cm inside diameter that connec...

A: Click to see the answer

Q: Compute the gallons of sealer required to seal a floor 120'x250'. The sealer being used will cover 1...

A: Click to see the answer

Q: Specifically a dynamics problem. Question and diagram in pic below.

A: The automobile is originally at rest at s = 0. The speed of the automobile increases its speed as  

Q: This problem comes from Introduction to Graphics Communications for Engineers 4th Edition page 64 #2...

A: Axonometric projection is a kind of orthographic projection that is used to create a drawing of the ...

Q: please step by step solve this simple algebra. it s part of a stress and elasticity problem

A: 1.

Q: Determine the resultant of the distributed load acting on the beam shown, and locate its line of act...

A: Given data as per question W1 = 230 lb/ft W2 = 35 lb/ft A = 5.6 ft. B = 2.5ft Calculating resultant ...

Q: The crystalline density of polypropyleneis 0.946 g>cm3, and its amorphous densityis 0.855 g>cm...

A: Given data as per questionDensity of polypropylene = 0.946 g/cm3amorphous density = 0.855 g/cm3

Q: Please find the question attached.

A: Given data as per questionApplied load at D = 30KNApplied load at E =20KNApplied load at moment = 10...

Q: A short compression member has the cross sec- tion shown in Figure P1-55. Compute the stress in the ...

A:   Area of the cross-section is,      

Q: I need help with the question in the picture below. the book refrenced is Materials Science and Engi...

A: Density of nickel can be given as 8.91 gram per cubic centimeter Nickel has face centered cubic unit...

Q: Ieng In an aircraft structure, a rod is designed to be 1.25 m long and have a square cross section o...

A: Given data for aircraft structure,  

Q: Please answer both 1 and 2 as they relate to eachother. thank you in advance

A: Write the properties of 1040 steel.

Q: SITUATIONAL PROBLEM NO II In a reheat cycle steam at 8.0MPA and 485degC enters the turbine and expan...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: To use the principle of work and energy to determine characteristics of a mass being pulled up an in...

A: Given data as per question Mass of crate = 53 kg Speed = 2.1 m/s Angle = 500 Kinetic friction = 0.13...

Q: Please find the question attached.

A: The free body diagram of the mass is drawn below.

Q: The question in the picture is a dynamics question. Hint: vC = Lw (up), aC = 0.577Lw2 (up)

A: For the given mechanism, let the link makes an angle of phai with the horizontal as shown below, Th...

Q: To use the principle of work and energy to determine characteristics of a system of particles, inclu...

A: Given data as per question Mass of the block A = 56 KG Mass of the block B = 74 kg Coefficient of ki...

Q: Current density of 0.1A/cm square is applied to the iron in an iron zinc corrosion cell.Calcualte th...

A: Given Information: Current density in iron = 0.1 A /cm2 Surface area of iron 100 cm2 Current flowing...

Q: 5- Most of the resilential houses in Begvo have a fire place Where firc wod 1s used for fuel and bur...

A: Write the expression of total power generated by the fire wood per day.

Q: The 54-lb block rests on the rough surface for which the coefficient of kinetic friction is μk = 0.2...

A: Click to see the answer

Q: Project 4: Pipe lagging is an insulation fitted around pipes to maintain energy loss at minimum and ...

A: (1) Pipe lagging is a special type of insulation which is fitted around the pipe to keep the heat wi...

Q: Fundamental Problem 6.5 - Enhanced - with Hints and Feedback Consider the truss shown in (Figure 1)....

A: given : The truss ABCDE     

Q: The question in the picture

A: Hi, Thank you for the question. You have asked 2 questions. These question are too legthy to solve a...

Q: This problem is about "An Ideal Rankine Cycle with an Open Feedwater heater. But the pressure enteri...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: What is the strain in an axis-symmetric, unconstrained, thin-walled pressure vessel?

A: Let us take, Consider the diagram shown below for the thin cylindrical pressure vessel with its tra...

Q: Compute the total elongation of the bar shown in Figure P3-37 if it is made from titanium 3-37. Ti-6...

A: Reaction at A; Axial loading diagram: Now,

Q: Two ropes are used to hoist a 530 lb engine/transmission assembly as shown. The rope is anchored at ...

A: Since you have posted question with multiple sub-parts (a), (b), (c), (d), and (e), we solve first t...

Q: Project 1: Reciprocating/internal combustion engines are widely used as a portable electrical genera...

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts i.e...

Q: On drawing 31A059, what tolerance applies to the flange diameter? All

A: The dimensional tolerance is defined as the allowable deviation from the standard value. These are u...

Q: To apply the principle of work and energy to a system of particles.  The principle of work and energ...

A: given: The mass of Block A = 12.0 lb The mass of block B = 41.0 b The inclined angles are 30.0 degre...

Q: The following are monthly actual and forecast demand levels for May through December for units of a ...

A: Tracking signal is determined by dividing sum of forecast error divided by MAD. MAD is the average o...

Q: I would like a more detailed explanation on each step to reach the final answer

A: Understand that the free end of the pipe will tend to move from point A to point B (when the force o...

Q: Refer to drawing 21A035, what is the depth of the spotface?

A: Spotface: A spotface is an accurate round surface on a machined part providing proper seating of a b...

Q: Rough sketch of crystal planes

A: Draw the intercept of the plane as shown below.

Q: 3-65: A stainless steel (SAE 301) wire is stretched between rigid supports so that a stress of 40 MP...

A: Given data as per question Stress at supports = 40Mpa Temperature of the wire = 200 C Final Temperat...

Q: Determine the forces in members BI, CI, and HI for the loaded truss. All angles are 30°, 60°, or 90°...

A: Given data as per question

Q: Specifically a dynamics problem. Question in pic below.

A: Given data: The tangential component of the final velocity can be calculated as,

Q: Specifically a dynamics problem. Question in pic below.

A: Write the expression of rate of angular momentum of the block.

Transcribed Image Text

F, г х F,