Determine the distance x̅ to the center of mass of the homogeneous rod bent into the shape shown. If the rod has a mass per unit length of 1 kg/m, determine the reactions at the fixed support O.

Q: The homogeneous wire ABC is bent into a semicircular arc and a straight section as shown and is…

A: The diagram of the homogeneous wire ABC is given as, Consider the segment 1 (BC), the centroid in…

Q: The jib crane is designed for a maximum capacity of 5 kN, and its uniform I-beam has a mass of 200…

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Q: nd Wc = 6000 lb, determine the normal reactions of the heels D, E, and Fon the ground. %3D

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Q: The unstretched length of the spring CD is 350mm. Suppose that you want the lever ABC to exert a…

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Q: A smooth, homogeneous sphere is held ar rest by the two inclines as shown. Determine the reactions…

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Q: olve by ROTATING the x- and y-axes such that the x-axis coincides with RA. A smooth, homogeneous…

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Q: Elements of the lower arm are shown in the figure. The weight of the forearm is 5 Ib with mass…

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Q: 3. The tasty fish pictured above has a mass of 1100 kg and is hanging from a cable attached via a 4…

A: Given data as per question Mass of fish = 1100 kg Length of cable = 4 m Weight of beam = 600 kg…

Q: The system below is composed of a uniform, slender rod. The mass of each section can be described…

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Q: (9) The light Boom AB 15 attached-to a verteal uall by tw oables at at A and supported B.A Force…

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Q: Statics of Rigid Bodies (Round off to two (2) decimal places. Include negative sign (-) if the…

A: The Force in the line AB is, To determine:y scalar component of F

Q: A rope passes over a frictionless pulley at D, as shown. The cylinder weighs 300 lb. Determine the…

A: The free body diagram of the beam is as follows: Calculate the moment about point A as follows:…

Q: Q2: Elements of the lower arm are shown in figure. The weight of the forearm is 20 N with mass…

A: Given data: The weight of the mass is

Q: The jib crane is designed for a maximum capacity of 6 kN, and its uniform I-beam has a mass of 230…

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Q: A smooth, homogeneous sphere is held ar rest by the two inclines as shown. Determine the reactions…

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Q: 1.45 r 2.05 r

A: Given,  Applying the Cosine and sine rule to get the required angles

Q: Determine the reaction at C

A: Given data: M=5 kN.m Need to determine the reaction force at C.

Q: Oー て (a) The light Boom AB 15 attached-to a vertcal unl 470 and supponted by twe ables at B.A Foroe…

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Q: 7.5' |A 6.8' 0.6' B 2.4' 3.6' OFF HIO

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Q: The ramp of a ship has a weight of F Ib acts in the center of gravity at G. The ramp is supported by…

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Q: tatics of Rigid Bodies (Round off to two (2) decimal places. Include negative sign (-) if the answer…

A: The unit vector is,The Force in the line AB is,

Q: The tower crane is used to hoist the 2.3-Mg load upward at constant velocity. The 1.6-Mg jib BD,…

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Q: A uniform bar with mass M = 3.25 kilograms is shown in the diagram. hlo required to keep the

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Q: The boom has a length of 15ft, a weight of 500lb, and center of mass at G. If the maximum moment…

A: Resolve the component

Q: The line of action of the 4520-lb force runs through the points A and B as shown in the figure.…

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Q: The line of action of the 4360-lb force runs through the points A and B as shown in the figure.…

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Q: The uniform rectangular panel ABCD has a mass of 31 kg and is hinged at its corners A and B to the…

A: Given data: mass m=31 Kgθ=20°BC=1110 mmCD=2800 mm

Q: 2.5 m 3.0 m 4000 N m 2.5 m B 300 N 2 m 30° A smooth and weightless rod is subject to a force on one…

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Q: Determine the magnitude and direction with respect to the +x axis on the reaction at A and at C.…

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Q: The drop gate at the end of the trailer has a mass of 124 Mg and mass center at G. It is supported…

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Q: 4-2) Find the megnitude and direction of the support forcas at A and B and the res tant mament

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Q: Q- Two radial 200 N and 500 N forces and tangential 700 N force are applied to shown system. If the…

A: Free body diagram for the given system: θ=tan-11.12θ=28.8o Resolving all forces in components:…

Q: Determine the reaction forces at the support A and the tension force T in the cable needed to…

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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.