Find the magnitude and position of the balancing mass at a radius of 13cm by using the analytical method. Three masses m1, m2, m3, are attached to a shaft and revolve in the same plane. The masses are 12kg, 10kg, and 15kg respectively and their radii of rotations are 5cm, 6cm, 7cm respectively. The angular position of the masses m2, m3 are 45° and 145° from the mass m1.

Q: An aeroplane runs at 600 km/h the rotor of the engine weighs 4000 N with radius of gyration of 1…

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Q: Two masses A and B are attached to a shaft and revolve in the same plane. The masses are 12 kg and…

A: Given that , mA=12 kgmB=10kgrA=40mm rB=50mm θA=0°θB=150°rR=100 mm

Q: A, B, C and D are four masses carried by a rotating shaft at radii 100mm, 150mm, 150mm and 200mm…

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Q: 7. A, B, C and D are four masses carried by a rotating shaft at radii 100 mm, 150 mm, 150 mm and 200…

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Q: A 5-kg quarter of a circular disk with a radius of 500 mm and a radius of gyration kç = 0.25 m is…

A: Given Data The radius of the quarter circle, r=0.500m The radius of gyration, KG=0.25m. The mass of…

Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

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Q: A thin disc of mass m and radius R is rigidly connected to slender member OC of length L. Member OC…

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Q: A uniform disk, a thin hoop, and a uniform sphere, all with the same mass and same outer radius, are…

A: This question is based on the concept of moment of inertia

Q: A uniform disc of diameter 300 mm and mass of 5 kg is mounted on one end of an arm of length 600 mm.…

A: Solution:  Option A is correct.

Q: A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum.…

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Q: A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass…

A: Given information: The values of the four mass: ma=7.5 kgmb=m kgmc=5 kgmd=4 kg The radial distance…

Q: The figure below gives the moment of inertia Io for a point mass rotating about point O. As a…

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Q: Find the magnitude angular acceleration of the barrel with mass of 8 kg and a radius of gyration k_O…

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Q: Given: mechanism consists of 3 members: (1) homogeneous disk 1 of mass m1=13kg and radius R1=37cm;…

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Q: A uniform disc of diameter 300 mm and mass of 5 kg is mounted on one end of an arm of length 600 mm.…

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Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

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Q: A ring of mass m =1 kg and radius R = 1m is attached to a vertical shaft by means of a frictionless…

A: Given, Mass, m=1kgRadius, R=1mAngular velocity,Ω=1rad/s a). When θ=30°, θ˙=4rad/s then θ=?¨ Moment…

Q: A rotor is rotating with a constant angular velocity w = 50 rad/s, and is dynamically balanced by…

A: Given data: The angular velocity is ω=50 rad/s. The radius Rc1=70 mm The radius Rc3=170 mm The mass…

Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

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Q: An aeroplane makes a complete half circle of 50 meters radius, towards the left, when flying at 200…

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Q: A 500 N force is applied to a roller with a mass of 50 kg as shown. Assuming that the roller is a…

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Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

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Q: Two masses A and B are attached to a shaft and revolve in the same plane. The masses are 12 kg and…

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Q: A wheel of radius (r-3) is placed as shown in figure. The wheel spins with constant angular speed…

A: Given Data ω1=4 ω2=5 r=3 Now for the lower point, wheel angular speed ω2 is only to be considered…

Q: A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass…

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Q: The satelite figure has a mass of 250 kg. configuration, Wr of gyration around -axis is kz Att = 0s,…

A: Given Datam=250kgdkdt=-0.05m/s

Q: An aeroplane makes a complete half circle of 50 metres radius, towards left, when flying at 200 km…

A: Given data Speed of Aeroplan(V) = 200KM/h                                      = 200 x 5/18 =…

Q: ed to a gear of radius R_1 = 0.50 in and moment of inertia I_1 = 1.0 kg m^2. This gear meshes with a…

A: Torque = Force * Radius = 2 * 1= 2 NmTorque = MOI * angular acceleration = 16 * α2 =  16 * αα =…

Q: As shown in Figure 5, disk A is free to spin about the bar B, which is perpendicular to the disk and…

A: the disk spins without slipping ω=ωs+ωo    is always directed along the instantaneous axis of zero…

Q: associated rotating parts has a moment of inertia of 50 kg m2. The angular acceleration of the shaft…

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Q: Find the magnitude and position of the balancing mass at a radius of 12cm by using graphical method.…

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Q: A uniform rod (mass = 1.8 kg) is 1.5 m long. The rod is pivoted about a horizontal, frictionless pin…

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Q: Three masses K, L and M of magnitudes 20 kg, 18 kg and 16 kg are attached rigidly to the shaft. The…

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Q: The 40-kg unbalanced wheel shown in Figure P.9. is rolling without slipping under the action of a…

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Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

A: Given that, Mass of the block A, mA=12 kg,Position of block A, rA=40 mm,    θA=0°Mass of the block…

Q: The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a…

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Q: A shaft carries three masses A, B and C of magnitude 200 kg, 300 kg and 400 kg respectively and…

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Q: engine, stroke 250 mm, rotates at 300 rpm. The reciprocating parts have a mass of 100 kg. The…

A: Data given- Stroke = 250 mm w = 300 r/min m= 120 kg Legth = 450 mm Center of mass = 300 mm Axis =…

Q: A shaft carries four masses A, B, C and D of magnitude 210 kg, 310 kg, 410 kg and 210 kg…

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Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

A: Draw the diagram of the system.

Q: The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O,…

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Q: A top consists of a spinning disc of radius 50 mm and mass 0.8 kg mounted at the end of a light rod…

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Q: Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12…

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Q: An airplane makes a complete half circle of 50 meters radius, towards left, when flying at 200 km/h.…

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Q: (c) Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are…

A: Given: m1=100 kgr1=225 mmθ1=0°m2=150 kgr2=175 mmθ2=45°m3=120 kgr3=250 mmθ3=120°m4=130 kgr4=300…

Q: drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum.…

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Q: Find the magnitude angular acceleration of the barrel with mass of 8 kg and a radius of gyration…

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.