y d 2m K- 4m → 不 2m k 1m 3m O-4m

Q: *12–196. The motor at C pulls in the cable with an acceleration ac = (3r²) m/s², where t is in secon...

A: Write the given data: Draw the free body diagram: Where point C represents the movement of the cab...

Q: The 50-mm-diameter A992 steel shaft is subjected to the torques shown. Determine the angle of twist ...

A: Given :   d = 50 mm   Solution : Assume clockwise as positive moment.  

Q: Describe the strain and energy?

A: When a body is subjected to any tensile or compressive forces then the body undergoes deformation .D...

Q: Packages are thrown down an incline at A with a velocity of 1 m/s. The packages slide along the surf...

A: Given data: *The velocity of the package incline at A is VA=1 m/s. *The velocity of the package on t...

Q: F10-14. The 80-mm-diameter shaftlis made of steel. If it is subjected to the triangular distributed ...

A: Since the torque acting on the shaft is triangular. Hence, the average torque acting on the shaft wi...

Q: For specified inlet and outlet temperatures, for what kind of heat exchanger will the ∆? be the grea...

A: For specified inlet and outlet temperatures, for what kind of heat exchanger will the ∆? be the grea...

Q: The blade of a portable saw and the rotor of its motor have a total weight of 2.5 lb and a combined ...

A: Given data: Rotation of blade,  w1 = 1500 rpm Total weight, W = 2.5 lb. Radius of gyration, kz = 1.5...

Q: The aluminum rod BC (G= 26 GPa) is bonded to the brass rod AB(G= 39 GPa). Knowing that each rod is s...

A: Given data: *The torque on the rod is T=100 Nm. *The diameter of the aluminium and brass rod is d=12...

Q: F6-4. Locate the center of gravity F of the straight rod if its weight per unit length is given by W...

A: The equation of the weight of the rod for length ‘dx’,

Q: Find the three rectangular component of the force 170N shown in figure (1).

A:

Q: Why must the loading not significantly change the original geometry orconfiguration of the member?

A: The design of the structure is done by the proper design methods, in that all tensile and compressiv...

Q: A 110-volt electrical heater is used to warm 0.3 m3 /s of air at 100 kPa and 15°C to 100 kPa and 30°...

A: Write the given data:

Q: 5-105 Determine the volume of material removed when the groove is cut in the circular shaft shown in...

A: Draw the schematic diagram of the groove.

Q: Five separate force-couple systems act at the corners of a piece of sheet metal that has been bent i...

A:

Q: 17-77. Disk D turns with a constant clockwise angular velocity of 30 rad/s. Disk E has a weight of 6...

A: Draw the FBD for a better understanding of the problem. Write the equilibrium condition,

Q: The solid shaft has a linear taper from rA at one end to rB at the other. Derive an equation that gi...

A: Draw the schematic diagram of the shaft.

Q: The reservoirs in Fig. contains water at 208C. If thepipe is smooth with L = 4500 m and d = 4 cm, wh...

A: The temperature of the water in the reservoir is T=208 C. The length of the pipe is L=4500 m. The di...

Q: For what purpose is A uniaxial tensile test performed?

A: A uniaxial Test is performed to determine the properties of the specimen. The properties include el...

Q: 8-26. The lap joint is connected together using a 30 mm diameter bolt. If the bolt is made from a ma...

A: Calculate the load on the bolt. Here, Pbolt is the load on the bolt. Calculate the shear stress in...

Q: The water needs of a small farm are to be met by pumping water from a well that can supply water con...

A: The data given is, Discharge, Q = 4 L/s Pipe dia, D = 5 cm = 0.05 m Dyanmic viscosity, ? = 0.00131 ...

Q: Water at 20 ° C fl ows steadily through the tank in Fig.P3.101. Known conditions are D 1 = 8 cm, V 1...

A: Given, V1 = 6 m/s D1= 8 cm D 2 = 4 cm  

Q: 3-11 Detormine the forces in cables A and B if block Wof Fig. P3-11 weighs 350 Ib.

A:  

Q: When EAC processes are active, under what condition does final fracture occur?

A: The EAC or Environmental Assisted Cracking is the process in which a machine part gets fail due to t...

Q: The gas pedal and the brake pedal are capable of causing a car toaccelerate. Can the steering wheel ...

A: The gas pedal and the brake pedal of the car are capable of producing an acceleration in the car. Th...

Q: R12–7. The truck travels in a circular path having a radius of 50 m at a speed of v = 4 m/s. For a s...

A: The radius of the circular path is given as, The initial speed is given as, The speed is increased...

Q: Using a handheld bicycle pump to generate an airjet, a soda can as the water reservoir, and straw as...

A: Consider the diagram shown below for the atomizer build from bicycle pump, straw and soda can.

Q: Gear A has a mass of 1 kg and a radius of gyration of 30 mm; gear B has a mass of 4 kg and a radius ...

A: Write the given data:

Q: A 2500-kg block is being lifted with two 8° wedges as shown in Fig. at all surfaces, determine the f...

A: Given: The mass of the block A, m = 2500 kg The inclination of the wedge, θ = 8o The coefficient of ...

Q: Consider uniform water flow in a wide brick channel of slope 0.4°. Determine the range of flow depth...

A: Step 1: The channel bed slope (S0) is given as: The roughness coefficient (n) of stream can be obta...

Q: A 20 in. long work piece with a cross sectional area of 2 in? (see the accompanying figure) is stret...

A:

Q: Disk A has a mass mA = 4 kg, a radius rA = 300 mm, and an initial angular velocity ω0 = 300 rpm cloc...

A: Disk A Mass = 4 kg Radius = 300 mm Angular velocity = 300 rpm clockwise Disk B Mass = 1.6 kg Radius ...

Q: Which materials, behave in the opposite way? Give some examples?

A: The behavior of the material is categorized based on specific characteristics like conduction of hea...

Q: The 6061-T6 aluminum alloy solid shaft is ixed at one end but free at the other end. If the shaft ha...

A: The data given is, Diameter, d = 100 mm Eccentric force, P = Pcr = 80 kN   6061-T6 aluminum alloy ...

Q: A 3' diameter ppe flows full when it carries 30 cfs. find the discharge and depth in the pipe if the...

A: Given data: The diameter of pipe D0 =3ft Full flow rate Q=30 cfs The velocity of flow at any depth =...

Q: Describe the variation of gage pressure with depth in the gradient zone of the solar pond.

A: Solar ponds are basically the small artificial lakes that have some measurable depths. They are pool...

Q: Determine the moment reactions at the supports A and B. EI is constant.

A: Free Body Diagram for the given beam is

Q: The cantilevered beam in Fig. a has a rectangular cross section and is subjected to a load P at its ...

A: The moment of the beam about the section is, By the method of Macaulay’s double integration method....

Q: A prototype spillway has a characteristic velocity of 3 m/sand a characteristic length of 10 m. A sm...

A: For water

Q: Using the method of joints, determine the force in each member of the truss shown. State whether eac...

A: Given Applied force in structure = 5 kN To find Forces in each member stating whether tension or com...

Q: The solid shaft is fixed to the support at C and subjected to the torsional loadings. Determine the ...

A: The torque acting at A is given as : Polar moment of inertia is calculated as :  

Q: 11-58 The beam is subjected to a moment M. Determine the percentage of this moment that is resisted ...

A: Draw the Cross section of the given beam. Understand that the bending occurs about the x axis as sh...

Q: The angular velocity vector of a football that has just been kicked is horizontal, and its axis of s...

A: The data given is, The angles during precession (from diagram) ? = 15° ? = ? + ? = 15° + ?

Q: Solve Prob. 6.67 assuming that the 9-kip load has been removed.(Reference to Problem 6.67):The diago...

A: Given Structure supported with simply supported fix and a roller fix. Applied forces 6 kip, 12 kip T...

Q: Determine the principal stresses and the absolute maximum shear stress.

A: The stresses are given as, The principal stresses are written as,  

Q: Saturated steam coming off the turbine of a steam power plant at 40°C condenses on the outside of a ...

A: Given: The mass flow rate of the steam is m=70 kg/h The outer diameter of the tube is D=3 cm The len...

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.