Find the coordinates of the center of gravity of the homogeneous wire showen below. The portion on the xy plane is the quarter circle of radius 400 mm. 300-mm 400 mm

Q: A lamina occupies the part of the disk x2 + y2 ≤ 1 in the first quadrant. Find the center of mass of…

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Q: 100 mm Parallel to z axis 100 mm 100 mm 450 75 mm

A: Solution of the above question, given in below solved with proper explaination.

Q: For the systems in equilibrium in the figure below, find the unknown tensions and masses. 80 N 30 N…

A: (a) Given Data : Balancing the forces in the block : T2 = mg     -eq.1 The force on the junction is…

Q: A block resting on a plane inclined at an angle 0 32° from the horizontal is being held in place by…

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Q: A jet is moving 30.5 m/s velocity. At the certain moment, it is deflected upward by a curved wing…

A: Given : Velocity of the Jet, v = 30.5 m/s Angle of deflection, θ = 60o Diameter of the wing, d =…

Q: 3/1 The 50-kg homogeneous smooth sphere rests on the 30° incline A and bears against the smooth…

A: Taking R1 as reaction force at B and R2 as reaction force of A   and mg as its weight

Q: For the given knotted cord system, (a) Draw the FBD of each knot indicating all the necessary…

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Q: Consider the rectangular cardboard shown in the figure. If you cut a hole in the material, the…

A: Write the expression for the center of gravity.

Q: ind the x- and y-coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of…

A: Uniform sheet of plywood dimensions=4.00 ft×8.00 ft        upper right quadrant dimension…

Q: Find the center of gravity of the painted area shown in the figure 20 cm r-10 cm 10 cm 15 cm 10 cm…

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Q: The two forces shown act on the structural member AB. Determine the magnitude of P (N) if Q=3885N…

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Q: The gusset plate is subjected to the forces of four members. Determine the force in member B and its…

A: Basic Details         The force along the member B and the orientation theta for equilibrium can be…

Q: E is a solid occupying the sphere of radius 2 centered at the the origin (0, 0, 0) in R3. The…

A: In spherical coordinate system, According to the given condition, the density d of the sphere is…

Q: How do you find the center of gravity of an object?

A: The center of gravity is the average location of the weight of an object. Centre of gravity is…

Q: Figure I below shows a uniform lanmina in the form of right angled triangle OAB with right angle at…

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Q: Solve for the Center of Gravity of figure below. a. From the Origin, X= b. From the Origin, Y=

A: The centre of gravity of a rod is at its mid point.

Q: Find the distances of the centre of mass of the lamina from PU and PQ.

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Q: Q2: The cylinder A weighs 450 N and it is supported by the vertical smooth wall and the cable system…

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Q: The horizontal beam in the figure (Figure 1) weighs 150 N, and its center of gravity is at its…

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Q: Find the x- and y-coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of…

A: The value of x is 3.63 ft and y is 1.77 ft.

Q: object below has a uniform mass distribution, a=4 m , b = 8 m and  c = 16 m, find the centre of…

A: Given:- If the object below has a uniform mass distribution, a=4 m, b = 8 m, and  c = 16 m, Find:-…

Q: The gusset plate is subjected to the forces of four members. Determine the force in member B and its…

A: Condition for equilibrium in the x-axis

Q: A block resting on a plane inclined at an angle e 32° from the horizontal is being held in place by…

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Q: Consider a traffic light suspended from two wires as shown in the figure below. The left wire makes…

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Q: |A hollow vessel in the form of a hemi sphere of radius 30 cm. is placed such that the plane rim is…

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Q: find the tension T in the cable and the normal surface reactions at points A and B.

A: Given, Mass of the bar m=400Kg Angle θ=45o Value of g=9.8m/s2

Q: Problem 11.67 Two friends are carrying a crate of mass 200 kg up a flight of stairs. The crate has…

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Q: Two tension ropes are connected to a wall and subject to forces as shown by the diagram below.…

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Q: A student creates a beam bridge for a project, suspends masses from the bridge, and spans the bridge…

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Q: What is the slope of the tangent drawn to the net force curve at equilibrium distance? Lütfen birini…

A: Required : What is the slope of the tangent drawn to the net force curve at equilibrium distance.…

Q: A box of 8 kg, standing on a horizontal, frictionless surface, is connected to a 2 kg block with a…

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Q: Problem LA solid uniform ball with mass m and diameter d is supported against a vertical…

A: Solution: let us first derive the expression for the tension By Newton's law

Q: y (ft) 4.00 2.00 T*(ft) 2.00 4.00 6.00 8.00

A: The coordinates of center of mass is given by  xcm=m1 x1 + m2 x2m1 +  m2ycm=m1 y1 + m2 y2m1 +  m2

Q: The 37-kg homogeneous smooth sphere rests on the ( 2.9/1.1 ) incline A and bears against the smooth…

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Q: 1.0 The post weighs 8 kN/m. Determine the internal normal force in the post as a function of x. 2 m

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Q: Thigh Arm 60 Leg 60° Torso In the figure, (b) shows arrows of lengths r locating the center of…

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Q: The gardener of Prob. 4.1 wishes to transport a second 250-N bag of fertilizer at the same time as…

A: The free-body diagram of the transport vehicle is shown below. Here, F denotes the exerted force on…

Q: A block resting on a plane inclined at an angle e 32° from the horizontal is being held in place by…

A: From the figure we can see that the angle that the wire c makes with the vertical is, 90-42=48. The…

Q: 1. The horizontal beam AB shown has a mass of 2.04 kg with center of gravity at its center. Find: A…

A: Consider the known data as below. Mass at the middle of the beam, m=2.04 kg Gravity, g=9.81 ms2…

Q: Can you please answer quickly How many free variables should be used to determine the orientation…

A: Given The number of orientation is N = 2. The degree of freedom is calculated as, df = N - 1

Q: A bead of mass m, embedded in a circular ring of radius R that is in a vertical plane, slides…

A: Given data: Radius of circular ring = R Initial velocity at point A (VA) = 0 m/s Angle = θ Gravity…

Q: A bead is threaded on a rigid circular hoop of radius R lying in the xy-plane with its center at O.…

A: Given that a bead is threaded on a rigid circular hoop of radius R lying in the xy-plane with its…

Q: The gusset plate is subjected to the forces of three members. Determine the tension force in member…

A: Solution: Given that F = 8 kN TC = ? TA = 9 kN

Q: Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope…

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Q: Consider the diagram where block has weight of 200N.. AB and CD are two wires c same cross sectional…

A: F= ma

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).