Question

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 *r**m* from the pivot point *P* to the line of action.

What is *r**m*, 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 *r**m* 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, *F**r* and *F**t*. Assume that *θ*is 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 *F**r* and *r* *or* *F*, *θ*, and *r*.

Tagged in

Engineering

Mechanical Engineering

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,