Answered: What should the magnitude of P be so…

What should the magnitude of P be so that the resultant is as small as possible? (Express your answer using four significant figures.)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.41P: The length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and...

See similar textbooks

Related questions

Q: 2. A circular cone having an altitude of 9m is divided into 2 segments having the same vertex. If…

Q: a) Evaluate the surface area of a paraboloid z 4-- that lies above the ry-plane.

A: Given that the area of a paraboloid z = 4- x2- y2 that lies above the x-y plane

Q: A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side…

Q: The area bounded by the parabolas y2 = 4x and x2 = 4y is revolved about the y-axis. Find the moment…

A: To given thaty2=4x Area=2x∫14ydx =2x∫144dx =2×2∫14xdx =4x[x12+1]1412+1…

Q: A triangular pyramid of side 15 mm and axis height of 24mm is resting on the top of a pentagonal…

A: Given: pentagonal prism height = 50 mm pentagonal prism base edge = 28 mm triangular pyramid height…

Q: The roof of a water tower is composed of eight equal isosceles triangles whose vertices meet at the…

A: The area of an isosceles triangle can be obtained by the formula- A=12bh where b is the width of the…

Q: Q1/ A tetrahedron is determined by three edge vectors a, b, č. Find its volume when a = [5 3 2], 6=…

Q: Q3: Resolve F1 into components along the u and v axes and the magnitude of these components.

Q: The surfaces r = 2 and 4, 0 = 30° and 50°, and ø = 20° and 60° identify a closed surface. (a) Find…

A: Givenr=2 and 4θ=30° and 50°ϕ=20° and 60°

Q: A cube A is 30cm along each edge and weighs 1450N. It is attached to the square prism B which 15cm x…

Q: What is the magnitude of the resultant force related to the following distributed load.

Q: What is the equilibrant if the resultant is 8N , 150°?

A: Find the equilibrant.

Q: Find the dimension and surface area of the shape object according to the pappus-guldinus theorem

A: Pappus theorem is a very simple method exists for calculating the surface area and volume generated…

Q: Draw the three projections of this solid with the measurements

A: According to the details provided in the question, we need to calculate three projection views.

Q: Use the theorems of Pappus and Guldinus to solve the fol- lowing problems. Determine the volume V of…

Q: Determine the total area of the cross-section (in sg m) without disregarding the areas in the end…

Q: Find the mass of a plate in the form of right triangle with legs a and b and thickness c, if the…

Q: Knowing that P = 120 lb and that the resultant of P and Q lies in the positive x-direction,…

Q: . An architect wants to build a wall with the profile shown. To estimate the effects of wind loads,…

A: Given question belongs to subject Solid Mechanics and can be solved using the concepts of Centroid…

Q: What is the resultant force?

A: Let us consider that an object has two forces acts on it. These forces are 10 N to its right. 50…

Q: Find the volume of a right circular cylinder of radius a and height h if the density varies as the…

A: Given Radius = r Height = h Find The volume of a right circular cylinder

Q: For the box shown below, determine the value of x if the total area is 94 cm³.

A: Given data Area of cuboid = 94 cm2 Length = 4…

Q: Q1: Find the volumes of the solids generated by revolving the shaded regions (revolving about…

A: solid generated is divided into slices along axis they are presented by washer having thickness d…

Q: Find the distance z¯ from the vertex of the right-circular cone to the centroid of its volume.

A: First consider a thin disc at a distance of z from the vertex of cone. The radius of the disc…

Q: Q6: A right triangle whose hypotenuse is v3 m long is revolved about one of its legs to generate a…

Q: Find the mass of a cube of edge a, if the density varies as the sum of the distances from three…

A: Consider a cube of edge a, now it is given that, ρ=k(x+y+z) where, k is the…

Q: Find the sentroid of the plane area shown below. Show all the calculations. In.

A: To determine the centroid of the given plane area

Q: Question # 2 A 15-m-long rod thickens from left to right so that its density is 8(x) = 1+ Kg/m.…

A: Given: Length of the rod is 15 m. Linear mass density is δx=1+x15.

Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors ä = [1, 0,-3),…

Q: a) A homogeneous thin wire as shown in the figure bent. Determine the coordinates of the center of…

A: Centroid of an area is the point located in the area which is considered to be placed at an average…

Q: suppose that the area is placed as shown. Let the dimensions R=6 in, c=14 in, and b=18 in. determine…

A: Answer is (A) 9.60 in

Q: Determine the vertical component of A.

Q: 200 200 -400 400 300 300 Dimensions in mm The location of the centroid of the shaded area about…

A: It is required to determine centroid of given section

Q: Find the centroid (ã, ỹ) of the shaded area, given the function: y = 2-x* and L = 3 ft.

A: Given data: - The equation of curve is y = 2x4. The length L is L = 3 ft.

Q: How do you find the resultant?

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Write the given expression. y=1x2+1x2+1=1yx2=1y-1

Q: is a parabolic ec

Q: 5. Given two projections of the solid, construct the third

A: The given solid : Given question : Two projections of the solid are given, construct…

Q: To obtain the resultants what method is used?

A: The resultant force of concurrent forces can be calculated by various methods. Some of the methods…

Q: The base of a block of metal is square with each side of length X(metres) and the height of the…

A: here rate of change of volume with respect to X is asked, It is given by, here V = x3+3x2.…

Q: Find the centrid of the area bounded by the given aerr, and

A: The centroid of an area can be considered as its geometric center. The coordinate of the centroid is…

Q: Find the moments of the lamina S of constant density p = 2 g/cm? occupying the region between y = x²…

Q: Ql: A triangular pyramid of side 15 mm and axis height of 24mm is resting on the top of a pentagonal…

A: PENTAGONAL PRISM A pentagonal prism consists of two pentagonal foundations such as the top and…

Q: 6) Find the centroid, (x, y), of the area below. The circle and semi-circle are holes. The circle…

A: Given ,

Q: Find the volume of a regular square pyramid with the base side a and the altitude H.

A: We will be using calculus to calculate the volume of this pyramid let us take the red coloured…

Q: A- The homogeneous 12-cm cube is balanced by a weight as shown in Figure on the beam scale when the…

Q: Determine the magnitude and direction of the resultant of the two acting on the bracket shown in…

Q: 1 m 2 m 1 m 2 m Find the centroid coordinate Xc, of the cross section, with respect to x-axis. Find…

A: Given: Area A1=2×2=4m2 Area A2=1×1=1m2

Question

The three forces (magnitudes F = 120 lb, F2 = 60 lb, and P) combine to produce a resultant R. The three forces act in known directions, but the numerical value of P is unknown.
60°
40°
a. What should the magnitude of P be so that the resultant is as small as possible? (Express your answer using four significant figures.)
P =
lb
b. For that value, what angle does the resultant make relative to the positive x-axis? (Express your answer using two significant figures.)
counterclockwise from the positive x-axis.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The force R is the resultant of P and 0. Determine Q and the angle .
The length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and (b) the unit vector directed from O toward A.
Four parallel forces act on the plate as shown. For the force system shown, find the equivalent resultant force and specify its x and y location from the origin, given: FA = 170 lbs, FB = 240 lbs, FC = 210 lbs, FD = 140 lbs, LX = 16 ft, LY = 14 ft, BY = 5 ft, DX = 6 ft The magnitude of resultant force, FR is: (positive number) FR = lbs The distance from the Origin in the positive X-direction is: X = ft The distance from the Origin in the positive Y-direction is: Y = ft
Find the magnitude of the resultant force, R, of the following forces using Law of Sine/Cosine. F1=81N 26ᴼ S of W and F2=62N 67ᴼ E of N.
Given: F1=30N @ 45⁰, F2=20N @120⁰ and F3=10N @90⁰, Find the resultant force and direction.
Forces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x axis, P is directed down to the right at angle β with respect to the x axis and T is directed to the left along the x axis. Determine: The value of F and α if T=450N, P=250N, β=30^0, and the resultant is 300N acting up to the y axis The value of F and α if T=450N, P=250N, β=30^0, and the resultant is zero. The value of α and β if T=450N, P=250N, F=350N and the resultant is zero
1. R is the resultant coplanar-concurrent forces composing of P, T, F, and each Q acting on a body. Find the magnitude of the fourth force Q and its angle with respect to horizontal, if P = 840N directed downward to the left at 20 degrees with the vertical, T = 890N is acting to the right along the horizontal, F = 530N is up to the right at 45 degrees with the horizontal and R = 1300N acting downward to the right 30 degrees with the horizontal. show solution, formula and the sketch of the FBD and pls write legible
The resultant of the two forces, when they act at an angle of 60° is 14 N. If the same forces are acting at right angles, their resultant is 136 N. Determine the magnitude of the two forces.
Three forces act at the same point as shown. Determine the magnitude (N) of the resultant. Consider the following: F1 = 192 N F2 = 62 N F3 = 53 N θ1 = 14° θ2 = 37° x = 2 y = 7
Using a suitable figure show that the resultant of two co-plainer, concurrent forces 'P' & 'Q' having '0' angle between them, can be written in the form of, R = square root of P^2+ Q^2 + 2PQ cos theta. Hence derive an expression for the resultant force if the angle between the forces is 90°.
R is the resultant coplanar-concurrent forces composing of P, T, F, and each Q acting on a body. Find the magnitude of the fourth force Q and its angle with respect to horizontal, if P = 840N directed downward to the left at 20 degrees with the vertical, T = 890N is acting to the right along the horizontal, F = 530N is up to the right at 45 degrees with the horizontal and R = 1300N acting downward to the right 30 degrees with the horizontal. Show your answers in graphucal and analytical method
Exercise: - Calculate the magnitude and the direction of the resultant of the two forces: A = (11.7 N, 20ᴼ) B = (14.1 N, 45ᴼ), using the following methods: 1. Mathematical Method 2. Graphical Method (Squares paper sheet can be used) 3. Components method (Squares paper sheet can be used)