Seven identical circular planar discs, each of mass M and radius R are welded symmetrically as shown in the figure. The moment of inertia of the arrangement about an axis normal to the plane and passing through the point P is 181 2 55 MR² 19 MR2 (o), MR 2 2 (a) MR² (b) MR² (d) MR² 73 2

Q: A spinning figure skater who brings their arms close in to their body will then spin faster. The…

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Q: (a) Find the moment of inertia I, about the x axis, which passes through m2 and m3. kg m2 (b) Find…

A: Given,  Masses are:m1=2.8 kgm2=3.7 kgm3=2.8 kgm4=3.7 kg The distance between the adjacent molecules…

Q: h the figure, two particles, each with mass m = 0.79 kg, are fastened to each other, and to a…

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Q: A spinning figure skater who brings their arms close in to their body will then spin faster. The…

A: Given Mass of the skater is M=50 kg Length of the arm is Ri=0.8 Ω Initial angular speed is ωi=2…

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A: Given:-  Three small objects are located in the x-y plane as shown in the figure above in the…

Q: 0.3 m 0.4 m 0.2 m F B

A: we are going to find out moment of force along oy.

Q: A force F= 40 + 103 N acts at point P, located at (Px, Py) = (-0.08, 0.1) m. Q FY 8 Calculate the…

A: Given Data: Force acting at point P, F→=40i^+10j^. Coordinates of point P Px,Py=(-0.08,0.1) m…

Q: A) 8 rad/s2 (B) 10 rad/s- The second's hand of a watch has(6 cm length. The speed of its tin and…

A: Given, length of second's hand of a watch is, r = 6 cm Since it is second's hand so its time period…

Q: A sanding disk with rotational inertia 1.3 x 10-3 kg - m² is attached to an electric drill whose…

A: Given,I=1.3×10-3 kg.m2τ=12 N‐m The relation between the angular momentum and angular velocity if…

Q: Two particles, each of mass 3.39 × 10-4 kg and speed 4.32 m/s, travel in opposite directions along…

A: Given: particle 1, m1= 3.39×10-4 kg speed, v1=4.32 m/s particle 2, m2=3.39×10-4 kg speed, v2=4.32…

Q: Problem 5: A uniform flat disk of radius R and mass 2M is pivoted at point P. A point mass of 1/2…

A: Moment of inertia of a disc with respect to central axis of disc ,Id=0.5(2MR2)=MR2  Distance between…

Q: Joey, whose mass is m = 36 kgkg, stands at rest at the outer edge of a frictionless merry-go-round…

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Q: A circular platform is mounted on a frictionless vertical axle. Its radius R = 2m and its moment of…

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Q: The density of the Earth, at any distance ? from its center is approximately ? = [14.2 − 11.6(?/?)]…

A: As the question is based on moment of inertia of earth as we consider earth as a sphere and…

Q: Prove that the moment of inertia of a solid sphere of uniform density, when rotating around a…

A: Let us consider a solid sphere of uniform density rotating about the z-axis. The sphere’s moment of…

Q: Two kids enter unpowered homemade carts in a soapbox derby race. The two carts have the same total…

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Q: From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. Moment of…

A: We know that when a cube with the greatest volume is carved from a solid sphere with mass M and…

Q: A nitrogen molecule consists of two nitrogen atoms whose total mass is 4.65x10^-26 kg. The effective…

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Q: In the figure, two particles, each with mass m = 0.77 kg, are fastened to each other, and to a…

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Q: Four small spheres, each of which can be regarded as a point mass (m) are arranged in a square and…

A: Given: mass =m; Length = L; We need to find the moment of inertia 'I' about an axis perpendicular to…

Q: Two uniform, solid spheres (one has a mass M1= 0.3 kg and a radius R1= 1.6 m and the other has a…

A: Given : M1=0.3 kg M2=0.6 kg R1=1.6 m R2=3.2 m L=6.4 m ISphere=25MR2

Q: 56 kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kgm2, and…

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Q: A sphere with radius 0.245m has density ϝ that decreases with distance r from the center of the…

A: Radius of sphere                             The density of the sphere,…

Q: n object is formed by attaching a uniform, thin rod with a mass of mr = 6.86 kg and length L = 5.76…

A: Mass of the rod, mr=6.86 KgLength of the rod,L=5.76 mmass of the sphere, ms=34.3 kgRadius of the…

Q: Three metal balls of equal masses m= 1.25 kg are connected by massless rods as shown in the figure.…

A: Given, m1=m2=m3=1.25 kgx1=0,x2=4,x3=-3y1=3,y2=0,y3=-2

Q: A hollow sphere (I=2/3mr^2) of radius R rotates about a diameter with an angular speed ω. The sphere…

A: The moment of inertia of a hollow sphere is =23MR2The angular momentum will be conserved. Angular…

Q: A force acting through the point (x, y, z) where x 3, y = -6 and z = 6 is given by the vector: F =…

A: The moment is defined as the product of the distance traveled by an object and the force that acts…

Q: wo particles, each of mass 3.21 x 10-4 kg and speed 6.81 m/s, travel in opposite directions along…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A solid sphere of uniform density has a mass of 2.42 kg and a radius of 0.432 meters. A force of…

A: Given Data: The mass of a solid sphere is, M=2.42 kg The radius of a solid sphere is, R=0.432 m The…

Q: Four particles m_1,m_2,m_3 and m_(4 )are placed at the vertices of a rectangle at P_1 (0,0),P_2…

A: Moment of inertia I1 I1=m1r12+m2r22+m3r32+m4r42=m10+m2y2+m3d2+m4x2=1 kg0 m2+1.5 kg6 m2+2 kg10 m2+2.5…

Q: Two spheres each with a radius of 5.0 cm and mass of 0.50 kg are free to slide along a thin rod with…

A: Let I0 and I denote the initial and final moments of inertia of the given structure. Let ω0 and ω…

Q: A particle of mass m = 10 kg is rotating around a point O at a radius r = 10 m. The angular position…

A: differentiation of angular position (θ) with respect to time is angular velocity (ω) dθ/dt = ω ω =…

Q: Three metal balls of equal masses m 1.25 kg are connected by massless rods as shown in the figure.…

A: m = 1.25 kg I = ?

Q: Joe's shoulder is labeled S and two points on the cable are labeled P and B. The coordinates of the…

A: The moment of a force depends on the magnitude of the force and the perpendicular distance between…

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Q: From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. Moment of…

A: We can tell when a solid sphere with mass M and radius R is transformed into a cube with the highest…

Q: The end state of our Sun will most likely be a white dwarf star. It would have about one fourth of…

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Q: A circular cone with constant density 1, base radius 6, and height 8 is placed so the axis of…

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Q: In the figure, two particles, each with mass m = 0.84 kg, are fastened to each other, and to a…

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Q: Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius…

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Q: Two particles, each of mass 3.45 x 104 kg and speed 6.22 m/s, travel in opposite directions along…

A: Angular momentum is the moment of momentum L̅ = r̅ × P̅