The slender L-shaped bar ABCD mass 15 kg/m is free to rotate about the pin at B. The spring connected to the bar at A has a free length of 7 ft, and its stiffness is 180 N/m. If the system is released from rest in the position shown, determine the angular velocity of the bar when A is directly above B

Q: The system is made up of the 1-m, 8.0-kg uniform rod AB and the two uniform disks (each of 0.17 m…

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Q: Q2: The cable connected to block B is wound tightly around disk A, which is free to rotate about the…

A: Given data The mass of the block B, mB=20Kg The mass of the disk, m=60Kg KG=400mm Moment of inertia,…

Q: The 8-kg crank OA, with mass center at G and radius of gyration about O of 0.22 m, is connected to…

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Q: The dump truck carries 5 m³ of dirt with a density of 1600 kg /m³, and the elevating mechanism…

A: Data given -  Volume of dump truck = 5 m3   Density = 1600 kg /m3  Mass m = density × volume =…

Q: Q1: The uniform slender bar of mass m and length L is released from rest when in the horizontal…

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Q: The spring is uncompressed when the uniform siender bar is in the vertical position snown. Determine…

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Q: The wheel consists of a 5.0-kg rim of radius r 260 mm with hub and spokes of negligible mass. The…

A: Show the diagram showing a wheel mounted on a yoke rolling on a circular surface.

Q: The wheel has mass m and centroidal radius of gyration (k bar) and rolls without slipping up the…

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Q: Determine  the angular acceleration of the flywheel, and the kinetic energy of the flywheel after 10…

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Q: The bar shown weighs 20 lb and is pivoted about a point C that is 1 ft from end B. The other end is…

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Q: 7. A uniform rod AB of length l and mass m is supported at O. If the cable attached at B suddenly…

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Q: The 23-kg wheel has a radius of gyration about its center O of kO = 300 mm. When it is subjected to…

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Q: The link AC (6 kg) rotates in the vertical plane about the point B. A spring (k = 600 N/m, points C…

A: Data given:Mass of the rod (m) =6kgLength of the rod (L)=900mm=0.9m Spring stiffness (k)= 600N/m…

Q: If rod OA of negligible mass is subjected to the ouple moment M = 9 N•m, determine the angular…

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Q: 4. The rod AB, with mass M, length L (thus Ic.G. = ML?) is released from the position shown, from…

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Q: The assembly consists of two 8-lb bars which are pin connected to the two 10-lb disks. If the bars…

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Q: The wheel has mass m 6.2 kg and a centroidal radius of gyration 685 mm and rolls without slipping up…

A: Show the free body diagram of the system.

Q: The slender 12-kg bar has a clockwise angular velocity of w= 2 radis when it is in the position…

A: m=12 kgW=12×9.81=117.72 Nω=2 rad/sec Now taking moment at…

Q: The 30-kg turbine disk has a centroidal radius of gyration of 175 mm and is rotating clockwise at a…

A: Given: The radius of gyration is kr = 175 mm. The weight of the blade is w = 0.5 N. The speed of…

Q: Four stroke engine has two outer cranks set at 140° to each other, and their reciprocating masses…

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Q: The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is…

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Q: The uniform slender rod, with a mass of 9.6 kg and a length of e=0.76 m, is fixed to a light…

A: Given DataM=11.8Nmm=9.6kgl=0.76m

Q: A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn since it is…

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Q: lb ft The wheel shown has a weight of 30 lb and a radius of gyration of kg = 0.6 ft. It is attached…

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Q: The concrete block weighing 644 lb is elevated by the hoisting mech- anism shown, where the cables…

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Q: The grooved drum C has a mass of 8.4 kg, an internal radius of 200 mm, an external radius of 300 mm,…

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Q: At what position (d) you will place the pencil horizontally so that when it is released from rest,…

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Q: The differential pulley C, which rotates as a unit, has a mass of 14.1 kg, an inner radius of 75 mm,…

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Q: A homogeneous disk of mass m = 4 kg rotates at the constant rate w1 = 12 rad/s with respect to arm…

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Q: The slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk…

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Q: The 12-kg slender rod is pinned to a small roller that slides freely in the slot. If the rod is…

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Q: The wheel is made from a 5-kg thin ring and two 2-kg slender rods. If the torsional spring attached…

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Q: The uniform slender bar of mass m and length L is released from rest when in the horizontal position…

A: Consider the free body diagram for the slender rod as shown below.

Q: 0.6 m A B 14m

A: given:P=200R=2mm=30kgM=50kg

Q: mass - 3 kg r=100 mm m mass = 10 kg

A: following is the answer to the above question-

Q: The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine…

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Q: A homogeneous disk of mass m = 4 kg rotates at the constant rate w1 = 12 rad/s with respect to arm…

A: given data; ⇒mass(m)=4kg⇒speed(ω1)=12rad/s⇒speed(ω2)=4rad/s ⇒radius of disk(r)=100mm=0.1m

Q: The uniform 31-lb bar with attached 14-lb wheels is released from rest when 8= 70°. If the wheels…

A: W=31 lbWw=14 lbθ=70°θ'=48°k=8.3 in

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,