A man is pulling himself up to a pulley that consists of two disks welded together as shown. The man is currently pulling straight down on the rope in his hands with a force of magnitude 468.2 N. The other rope is also vertical and is attached to the man's waist at his center of mass. The man's mass is 86 kg, the pulley's total moment of inertia is 4.36 kg m2, the radius of the small disk is 0.37 m, and the radius of the big disk is 0.71 m.

Q: A uniform rod of mass M = 1.2 kg and length L = 0.80 m, lying on a frictionless horizontal plane, is…

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Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.07 kg (see figure…

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Q: The device shown in the figure below consists of a thin rod of length { = 22.8 cm and mass m = 1.20…

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Q: A solid cylinder has a mass 2.45kg and a radius 0.746 m. What is its moment of inertia (in unit of…

A: The formula for the moment of inertia when a solid cylinder is rotating about its central axis is:

Q: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending…

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Q: You are given a thin rod of length 1.5 m and mass 1.6 kg, a small lead weight of 0.25 kg, and a…

A: Given that:MR=1.6 kg (with holes)L=1.5 mm=0.25 kgm'=1 kg

Q: A window cleaner is pulling himself up to a pulley that consists of two disks welded together as…

A: Given:Force exerted by the cleaner, F =597.5 NPerson’s mass, m = 88.3 kgPully total moment of…

Q: small pole (uniform, thin) that has a mass of 4.31 kg and can pivot about an axis perpendicular to…

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Q: A uniform thin rod of mass M = 3.39 kg pivots about an axis through its center and perpendicular to…

A: For the given system of three the moment of inertia about the given axis will be given by sum of the…

Q: A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0…

A: Given data as per question  mass of sphere = 1.5 kg radius   =  15cm

Q: A wheel of moment of inertia of 4.00 kg∙m2 starts from rest and accelerates under a constant torque…

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Q: uniform thin rod of mass ?=3.57 kgM=3.57 kg pivots about an axis through its center and…

A: Given Mass of rod M=3.57 kg Mass of small bodies m= 0.235 kg Moment of inertia of system = 0.985 kg…

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.05 kg (see figure…

A: Given, mass m =3.05 Kg distance when dumbells are apart d = 1.06 m angular speed ω=0.747 rad/s…

Q: A uniform rod of length L= 4 m and mass M =2 kg is attached at one end to a frictionless pivot and…

A: Given data: The length of rod is L=4 m. The mass of rod is M=2 kg. The gravitation acceleration is…

Q: A small ball is rotating in a circular horizontal path. The ball is held by a rigid rod. The moment…

A: Given data:  Ball rotating in circular horizontal path  Moment of inertia (I) = 2.43 kg.m2 Angular…

Q: A thin stick of mass M3D0.2 kg and length L=4.0 m, is attached to the rim of a metal disk of mass…

A: Given, Mass of disc,m1=2 kg Mass of stick,m2=0.2 kg Length of stick,L=4 m Radius of disc,R=0.4 m

Q: A uniform rod of length L= 8m and mass M =2 kg is attached at one end to a frictionless pivot and is…

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Q: This grindstone has a mass of 60 kg, a diameter of 0.600 m and has a moment of Inertia (I) of 4.50…

A: Given: The mass having the value of 60 kg, a diameter of 0.600 m and has a moment of Inertia (I) of…

Q: A thin uniform rod of mass M and length L is nailed to the tabletop in an experiment on rotation. If…

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Q: A solid disk with a moment of inertia of 24 kg m2² is spinning at 40.0 rpm. A small object is…

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Q: M, a solid cylinder (M=1.51 kg, R=0.123 m) pivots on a thin, fixed, frictionless bearing. A string…

A: Given Data:- Mass of the cylinder is M=1.51 kg Radius of the cylinder is R=0.123 m Magnitude of the…

Q: In the rotational motion experiment, a student wanted to measure the moment of inertia I of a disc,…

A: τ=Torque=8.2 NmI=Moment of inertiaα=Angular acceleration=28.34 rad/s2

Q: Two spheres are each rotating at an angular speed of 21.9 rad/s about axes that pass through their…

A: Write a given values of this question. ωi=21.9rad/sR=0.190mM=1.34kgτ=0.380N-m Moment of inertia for…

Q: A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown. The…

A: Given that  A yoyo is constructed by attaching three uniform, solid disks along their central axes…

Q: A man stands at the center of a platform that rotates without friction with an angular speed of 2.49…

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Q: Of a smooth rod of mass M and length L, whose thickness is neglected; a) Find the moment of inertia…

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Q: A hollow sphere has a mass of 15 kg, an inner radius of 12 cm and an outer radius of 18 cm. What is…

A: To find out the rotation inertia of the sphere passing through its centre.

Q: A uniform rod of length L= 4 m and mass M =2 kg is attached at one end to a frictionless pivot and…

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Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 2.92 kg (see figure…

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Q: Two spheres are each rotating at an angular speed of 21.9 rad/s about axes that pass through their…

A: Write a given values of this question. ωi=21.9rad/sR=0.190mM=1.34kgτ=0.380 N-m Moment of inertia of…

Q: Q1.

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Q: A grinding wheel is in the form of a uniform solid disk of radius 6.91 cm and mass 1.96 kg. It…

A: Radius (R) of uniform solid disk = 6.91 cm                                                    =…

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 2.93 kg (see figure…

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Q: 9. A solid ball of mass M, radius R (moment of inertia = (2/5) MR²) starts from rest at a height of…

A: In rolling down on a inclined plan, The potential energy  Mgh is converted in to linear and…

Q: A thin uniform rod of mass M and length L is nailed to the tabletop in an experiment on rotation. If…

A: According to parallel axis theorem, if the moment of inertia of an object of mass M, an axis passing…

Q: A disc of radius R = 2 m has a moment of inertia | = 250 kg.m2 and is rotating at 10 rev/min about a…

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Q: AF A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown.…

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Q: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular…

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Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.04 kg (see figure…

A: Mass of dumbel = 3.04kg Initial distance =0.99m Final distance = 0.299

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r =…

A: Given    mass of hoop mn = 4.70 kg   mass of each rodmr= 8.23 kg          rh= 0.474 m           td =…

Q: The figure above shows two barbells, which can be modeled as two point masses connected by a…

A: Given : L = 0.77 m Mass m = 20.1 kg Moment of inertia of barebells is given by  I=m1m2m1+m2L2…

Q: The uniform solid block in the figure has mass 39.8 kg and edge lengths a = 0.902 m, b = 1.67 m, and…

A: Mass , m = 39.8 kg  a = 0.902 m  b = 1.67 m c = 0.141 m To find = rotational inertia about an axis…

Q: Two disks are initially spinning, one above the other on a small axle that provides a small, but…

A: Apply conservation of angular momentum for the discs, and solve for the common final angular…

Q: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.07 kg (see figure…

A: Given, Mass of each dumbbells (m)= 3.07kg Initially dumbbells are 1.06 m from axis of…

Q: thin uniform rod of mass M and length L is nailed to the tabletop in an experiment on rotation. If…

A: Given moment of inertia I= mL2 /12