the pendulum radius of gyration about an axis perpendicular to the screen passing through point O

Q: For the body shown. If point P3 is the center of mass for rod part P1-P2, and point P4 is the center…

A: A moment of inertia is a mass of the body when a body is rotating on an axis. The moment of inertia…

Q: Find the equivalent moment of inertia of the rocker arm assembly with respect to the location of kt…

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Q: A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional…

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Q: Q6: Thin plate of uniform thickness and density 8(x.y)-3r +2y -1 coveres the area by the parabola y…

A: Diagram:-

Q: Please find the radius of Gyration Kx. The density is 5000 kg/m³ 0.5 m 1 m-

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Q: A wheel has a string of length 4 m wrapped round its shaft. The string is pulled with a constant…

A: Given, Length of the string L = 4 m Force F = 150 N n = 3 rev/s Moment of inertia of the wheel I =?…

Q: The pendulum can rotate about the axis perpendicular to page and pass through point A. The solid rod…

A: Given Data: Solid rod has a mass mrod=4 kg Length of rod L=5 m The solid sphere with radius of…

Q: A wheel has a string of length 4m wrapped round its shaft. The string is pulled with a constant…

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Q: Calculate the moment and products of inertia for rotation about the z-axis of the following rigid…

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Q: CS South-line. Consider a sphere with radius R and mass M. Assuming that the moment of inertia of…

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Q: From a circular disc of mass M and radius Ra circular portion of radius R/2 is removed as shown in…

A: As per the given conditions, the disk must touch the outer boundry and also the center of the disk…

Q: Answer all parts please Crate A has a mass, mA-5 kg and attached to a rolling ball with a mass of…

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Q: The pendulum shown in the image below can rotate about the axis perpendicular to page and pass…

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Q: For the the mass of flywheel of an engine is 6.5 tonnes and the radius of gyration is 1.5…

A: here given that, Mass (M) = 6.5 tonnes = 6500 kg. Radius of gyration (K) = 1.5 m. I = ?

Q: A solid homogeneous cylinder with diameterd 340 mm rolls without slipping on the horizontal plane.…

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Q: 5. We can treat the rotor assembly of a drone to be made of three flat rods attached as shown. If…

A: Given data: m=160 kgl=3.75 m Need to determine the moment of inertia about the center of rotation.

Q: Question 4 A pendulum is suspended from a pin at point O as shown in the figure below. The pendulum…

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Q: Determine which rigid body experiences complex motion Locate the instant center for that rigid body…

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Q: For the body shown. If point P3 is the center of mass for rod part P1-P2, and point P4 is the center…

A: Given Data Length is :L=1 m Mass density of rod part is :m=5 kg/m Mass density of disk part is :…

Q: If the moment of inertia of a solid sphere of radius R and mass Mabout a diameter is MR², What is…

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Q: A spherical bob of radius R and mass m, is attached to a slender rod of length / and mass m, as…

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Q: Find the center of mass (x̄, ȳ, z̄) of the object shown, given:   L1 = 20 mm,   L2 = 34 mm,   L3 =…

A: The given figure converted into two cuboids as: C1: (L6,L5,(L2+L3)C2: (L1,L2,L4)L1=20 mmL2=34…

Q: Three balls are attached to a cable and are being rotated. Ball A is 0.5 kg and is 1.0 m away from…

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Q: Determine the moment of inertial about an axis perpendicular to the page and passing through the pin…

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Q: 2. Find the moment of inertia of the following structure. A hoop of mass mr = 4mo and radius a about…

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Q: A thin uniform rod of mass M and length L is bent at its center so that the two segments are now…

A: Mass of the uniform rod, M Length of the uniform rod, L Mass of the each segment, M/2 Length of the…

Q: The rigid body of mass m moves on a horizontal plane due to the effect of the force F shown in the…

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Q: 5kg plate, and 3 kg slender rod. FIND, the radius of gyration of the pendulum about an axis…

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Q: As shown in the figure, a disc with radius R/2 was cut out from a homogeneous disc of radius R.…

A: Given data, Radius of small cut out disc = R2 Radius of complete homogenous disc = R Mass of…

Q: The frame of a tandem drum roller has a weight of 4100 lb excluding the two rollers. Each roller has…

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Q: A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional…

A: Transient response: the response of the system due to free vibration is called the transient…

Q: Two thin hoops of masses m1 and m2 have radii a1 and a2, respectively. They are mounted rigidly on a…

A: Solution: It is given that two thin hoops of mass m1 and mass m2 are placed at a distance a1 and a2.…

Q: Find the center of mass (x̄, ȳ, z̄) of the object shown, given:   L1 = 50 mm,   L2 = 110 mm,   L3 =…

A: A1=L1×L4A1=50×70A1=3500 mm2A2=12×L1×L2-L4A2=12×50×110-70A2=1000 mm2A3=π4×102A3=78.5398 mm2

Q: s of 750 kg and its radius of gyration is 250 mm. Find t to the hull (body of the yacht), when the…

A: The answer is in the next step

Q: The slender bar lies in the x-y plane. Its mass is 6 kg and the material is homogeneous. Use…

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Q: .Three identical uniform rods, each of length L and mass m, are joined to form a rigid equilateral…

A: Consider the schematic diagram of the triangle as shown below.

Q: In the gyroscope experiment the gyro wheel makes 60 rps and frame makes 14.04rpm. The rotating disc…

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Q: Moment of inertia of a square about its centroidal axis decreases with decrease in side of the…

A: Since the moment of inertia also depend on area,it is very clear if we increase the  side of square…

Q: A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional…

A:

Q: The slender rod in the figure has a mass 10 kg. Find mass moment of inertia (MMI) about an axis…

A: Mass moment of inertia about normal axis=mL212Mass moment of inertia about hinge point:Applying…

Q: Find the moments of inertia in kg-m2 of the pendulum shown in the figure below about the z-axis. The…

A: Make FBD for the given question and write the given values along with the suitable variables.

Q: Find the moment of inertia of a solid parallelepiped of homogeneous mass density, mass M and sides…

A: given; mass of parallelopiped=Mside length a,b,c(a)moment of inertia about main axis ?(b) moment of…

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.