Ex. 58 : A solid cylinder of uniform density of radius 2 cm has mass 50 g. If its length is 12 cm. Calculate its moment of inertia about an axis passing through its centre and perpendicular to its length.

Q: The uniform thin rod in the figure below has mass M = 5.00 kg and length L = 3.45 m and is free to…

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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: 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…

Q: An oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kg and radius R =…

A: The moment of inertia of the system is 0.0194219 kg.m²

Q: Two balls with masses M = 4.67 kg and m = 2.67 kg are connected by a rigid bar of length L = 2.51 m…

A: Given that   M = 4.67 kg  m = 2.67 kg  L = 2.51 m Find the minimum moment of inertia in kg/m2 for…

Q: A A Sphere with radius R Sphere with radius R

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Q: A yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller…

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Q: A solid cylinder with a radius of 4.0 cm has the same mass as a solid sphere of radius R. If the…

A: Write the expression for the moment of inertia of the solid cylinder. Write the expression for the…

Q: unicycle wheel is essentially a thin cylindrical shell, with radius 28 cm and mass of 440 g. A…

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Q: The moment of inertia for a rod rotating about its end is ML² The moment of inertia for a solid…

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Q: The uniform thin rod in the figure below has mass M- 4.00 kg and length L 2.37 m and is free to…

A: Solution: Given that mass M = 4 kg length L = 2.37 m

Q: The uniform thin rod in the figure below has mass M- 2.50 kg and length L 2.29 m and is free to…

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Q: The figure shows a barbell composed of two identical, uniform spherical masses and a steel rod. The…

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Q: 10cm. 20 ст. The figure above shows the cross section of a thin steel disc of uniform density. It is…

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Q: Modern wind turbines generate electricity from wind power. The large, massive blades have a large…

A: Given that:- Mass of each blade=M=5500kg

Q: The figure shows a barbell composed of two identical, uniform spherical masses and a steel rod. The…

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Q: Calculate the moment of inertia of the array of point objects shown in the figure about the…

A: Part A: The moment of inertia of the array of point objects about the vertical axis is,…

Q: A spherical shell with a mass of 0.43 and a radius of 0.27 is to roll across the level ground under…

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Q: solid cylinder spins with an angular velocity of 6 rad/s about its axis of circular symmetry. What…

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Q: A spherical shell with a mass of 0.4 and a radius of 0.34 is to roll across the level ground under a…

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Q: thanks!

A: Use the Newton’s second law of motion to solve for the net force on the system in the equilibrium…

Q: 7 kg T 7 m y 6 rad/s 4 kg x

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Q: A table tennis ball has a mass of 2.7 g and is 40 mm in diameter. What is its moment of inertia…

A: Given data:Diameter of spherical shell is, .Mass of spherical shell is, .

Q: what is the sphere's radius

A: Given  radius of the cylinder (r)= 4.9cm radius of the sphere =R the mass of both sphere and…

Q: kinetic energy a

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Q: Chapter 11, Problem 041 GO The figure shows a rigid structure consisting of a circular hoop of…

A: Given that, The period of rotation of the hoop, t = 1.4 s R = 0.2 m and m = 4.1 kg We need to find…

Q: 10 kg m3= 1.0 m M-30 kg Mg Consider a 10 kg solid cylindrical drum with radius 1 m rotating about…

A: Solution: As given that mass of the cylinder m  =10 kg radius r = 1 m mass attached M = 30 kg

Q: Ex. 49: Calculate the moment of inertia of uniform disc of mass 5 kg and diameter 1 m, about an axis…

A: To find- (1) M.I. about an axis passing through its centre and perpendicular to its plane (Ic)=? (2)…

Q: A spherical shell with a mass of 1.52 kg and a radius of 0.37 m is rolling across the level ground…

A: Mass of the shell, M = 1.52 kg Radius, R = 0.37 mInitial angular velocity,  = 36 rad/sAngular…

Q: A 35kg wheel is off-center, with its axle 3.4cm away from its actual center of mass, and it has a…

A: Given data: The work done is W=84 J. The final speed of wheel is ω=11.3 rad/s.

Q: Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can…

A: Given that can of soda is modeled as solid cylinder. diameter of can, d = 6.6 cm = 0.066 m mass of…

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data:  Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: Four particles with masses 7 kg, 2 kg, 7 kg, and 4 kg are connected by rigid rods of neg- ligible…

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Q: Side view R R/2 MM

A: Part a: The moment of inertia of the yo-yo is the moment of inertia of two concentric disc.

Q: The uniform slender rod has a mass m. If it is released from rest when e = 0°. determine the angular…

A: Given  Moment if inertial about center Ic = ML²/12 Concept used is law of conservation of energy.

Q: A uniform thin rod of mass M = 3.37 kg pivots about an axis through its center and perpendicular to…

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Q: 1. A uniform solid sphere rolls without slipping down a 27° inclined plane. What is the acceleration…

A: Given:- The solid roll-down in the inclined plane, the angle of inclination is θ=27° The moment of…

Q: A 25-kg child stands at a distance r = 1.0 m from the axis of a rotating merry-go-round. The…

A: Given  Mass of child m=25kg  Distance of child r=1m Mass of merry go round M=500kg  Radius R=2m

Q: yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller…

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Q: A disk of radius R and thickness t has a mass density that increases from the center outward, given…

A: Given:-

Q: A small pine tree has a mass of 19 kg. Its center of mass is located at 0.87 m from the ground. Its…

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Q: Modern wind turbines generate electricity from wind power. The large, massive blades have a large…

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