SAMPLE 8.6 A crooked bar rotating with a shaft In space. A uniform rod CD of mass m = 2 kg and length { = 1m is fastened to a shaft AB by means of two strings: AC of length R = 30 cm, and BD of length R2 = 50 cm. The shaft is rotating at a constant angular velocity ö = 5 rad/sk. There is no gravity. At the instant shown, find the tensions in the two strings. l-lm B.
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A: Givenr=0.3mm=50kgμ=0.15
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A: Given:mass, m=100 kgcross-sectional area, A=100 mm2length, l=1mE=100 GPag=10 m/s2
Q: k1 k2 k3 k4 k5 k6
A: Given that , k1=20N/mk2=30N/mk3=25N/mk4=35N/mk5=50N/mk6=60N/m
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Q: 'A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square…
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Q: P 150 1150 W |120 lb 15° 4 ft 15° 4 ft 15° 150 4 F 120 lb FBD FBD 15° 4 ft Fig. P4.12 15° Fig. P4.13…
A: Given: weight of the roller=120lb since the body is in equilibrium , we can approach the problem…
Q: Consider the following unattached spring system. ci = 6, mị = 1, m2 = 2
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Q: Find the maximum compression of the spring.
A: Find the maximum compression of the spring.
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A: given datainner radius = aouter radius = bmodulus of elasticity = EPoissons ratio = νdensity = ρ
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A: DIAGRAM representation above ∑MA=0W2 X (a+b) +Wi x a+b2 + P x a= T(sin30+sin90) x (a+b)= 80 x 5…
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Q: 021/pluginfile.php/680076/mod_resource/content/1/EENG3230_2022.pdf 4- Question 3 Two blocks, A and…
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Q: The spool shown in the figure has a weight of WAB = 27,50 N, and its center of gravity is located at…
A: Given, The weight of AB, WAB = 2750 N The larger radius, R = 0.17 m The inner radius, r = 0.13 m The…
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Q: A horizontal bracket ABC consists of two perpendicular arms AB of a length 0.75 m and BC of a length…
A: Dimeter of bar, d=65 mm=0.65 m,Length of arm (AB), b2=75 mm=0.75 m,Length of arm (BC), b1=50 mm=0.5…
Q: The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates…
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Q: A cylinder of mass m=51.1 kg is suspended from a massless L-frame which is supported in the x-z…
A: The weigh of the cylinder is Consider the free body diagram as shown below for the given system.
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Q: 4. A car weighing 20 kN rounds a curve of 50 meter radius banked at an angle of 25°. Find the…
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Q: 1. A helical compression spring is made of hard-drawn spring steel wire with a wire diameter d =…
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- A disk and a ring both homogeneous with masses M1=0.94 kg and M2=M1/6 and radii R1=0.36 m and R2=R1/2, respectively, are coupled by an ideal C strap, as shown in the figure below . At a given moment, a work of modulus W=35 J is performed on the system that, starting from rest, makes the disk and the ring rotate around their symmetry axes. In view of this, answer: what is the value of the linear velocity v at the edge of the disk? Consider that the strap does not slide over the edge of objects. Choose one: Escolha uma: a. 14,80 m/s b. 12,68 m/s c. 10,57 m/s d. None of the other alternatives e. 19,02 m/s f. 16,91 m/s g. 8,46 m/s h. 6,34 m/sIn the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cmConsider an electrical motor with mass M= 29 kg located at the tip of a rigid beam pivoted at point A, with the other end supported by a spring and damper with stiffness, k = 6 MN/m and damper c= 12 kNs/m, as shown in the figure below. Assume that the rigid beam is massless, the length is L= 1.3 m (horizontal distance between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of m0=2 kg in the rotating part of the motor, eccentricity is e =382 mm, and the rotor is rotating with a speed of w (omega) = 203 rad/s, determine the maximum amplitude response of point O at steady state condition in millimetre. Assume the line of actions of forces created by spring and damper act through point O, the centre of electric motor. Treat the electric motor mass as a point mass for calculating its moment of inertia about point A.
- A single cylinder reciprocating engine has speeded 300 RPM. Stroke 250 mm, mass of reciprocating parts 50 kg. Mass of revolving parts at 150 mm radius 37 kg. If two fourth of the reciprocating parts and all the revolving parts are to be balanced, find (i) The balance mass required at 400 mm radius (ii) The residual unbalanced force when the crank has rotated 45° TDC.Consider the system formed by three ideal springs, a rigid rod of negligible mass and a body of mass M, as illustrated in the figure. The two springs attached to the ceiling are identical and have spring constant K1 = 2 kg/s2 and natural length L1 = 10 cm, while the third has spring constant K2 = 3 kg/s2 and natural length L2 = 20 cm. Assume that the mass M and the rod oscillate only along the vertical x-axis and that the gravitational acceleration is uniform with magnitude g=10 m/s2. What is the mass oscillation period? Choose the closest value.A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: (a) The magnitude of the mass in plane E and its angular position relative to the mass in plane A (b) The distance of the plane E from plane A (c) The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution.
- A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. USING THE METHOD OF DRAWING m*r and m*r*l diagram Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible…A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A PS – Use graphical methods to solve the balancing problemA shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution. PS – Use graphical methods to solve the balancing problem
- A truck of mass 15000 kg traveling at 1.6m/sec impacts with a buffer spring, which compresses 1.25mm per kN. Find the maximum compression of the spring. ( No shortcut please)3. A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure below. If m4 = 12.0 g, find values (in g) for the following. (Let d1 = 4.50 cm, d2 = 6.10 cm, d3 = 2.40 cm, d4 = 4.40 cm, d5 = 2.90 cm, and d6 = 3.50 cm.) 4. One end of a uniform 3.70-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μs = 0.495. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A.Under some circumstances, when two parallel springswith constants k1 and k2 support a single mass, theeffective spring constant of the system is given byk 4k1k2/(k1 + k2). A mass weighing 20 pounds stretchesone spring 6 inches and another spring 2 inches. Thesprings are first attached to a common rigid supportand then to a metal plate. As the figure illustrates(see image), the mass is attached to the center of the plate in the distributiondouble spring. Determine the constant of theeffective spring for this system. find the equationof motion if the mass is initially released fromequilibrium position with downward speed of2 ft/sec.