The moment of inertia of a solid sphere about an axis passing through its center is: a) (2/5)MR^2 b) (2/3)MR^2 c) (3/4)MR^2 d) MR^2
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: orce ?→=(−6.8N)?̂ +(5.2N)?̂F→=(-6.8N)î+(5.2N)ĵ acts on a particle with position vector ?→=(3.0m)?̂…
A: Given: The applied force is -6.8i+5.2j N. The position vector of the object is 3i+3.9j m.
Q: A sanding disk with rotational inertia 4.2 x 103 kg-m² is attached to an electric drill whose motor…
A: Rotational inertia (I) = 0.0042 kg m-2Torque (T) = 38 N.m time (t) = 29 ms = 0.029 s
Q: For this shape, determine: A) the y-coordinate of the centroid (ỹ) B) the moment of inertia about…
A: Given:- A body is given as Find:- a) y coordinate of the centroid (y¯) b) The moment of…
Q: Assume the formula for moment of inertia of a ball is given by I = 2/3Mr^2 What is the radius of…
A: Given data: I = 13.86 kg.m2 Mass (M) = 32.5 kg Need to determine the radius.
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: 1. Determine the moment of inertia of the area about the x axis. -3 in.-3 in.- 2 in. 6 in. 4 in.
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Q: A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 240 kg · m? and is…
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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: An object is formed by attaching a uniform, thin rod with a mass of mr = 6.57 kg and length L = 5.2…
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Q: An object is formed by attaching a uniform, thin rod with a mass of mr = 6.57 kg and length L = 5.2…
A: mass of the rod = mr = 6.57 kg length = L = 5.2 m mass of sphere = ms= 32.85 kg
Q: A disk of radius R and thickness t has a mass density that increases from the center Po (r/R),where…
A: The mass density ρ=ρ0rR The elemental disc of mass dm at a distance r from the center of the disc .…
Q: Find the moment of cable AB about the x-axis and y-axis using the scalar method. 6 m y 100 N 40° 2 m…
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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: diver has a radius of gyration of 72 cm and their mass is 68 kg. a) What is the diver’s moment of…
A: Mass, m = 68 kgRadius, r = 72 cm = 0.72 mMoment of inertia, I = ?
Q: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a…
A: (a) Apply Newton's second law, Net torque = Moment of Inertia x angular acceleration T = Iα 260*0.33…
Q: A playground merry-go-round of radius R- 1.60 m has a moment of inertia - 270 kg m and is rotating…
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Q: What are the components of the moment of inertial of the BeBr2 body if the coordinates of the…
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Q: Q.5) For the composite area shown below. determine (a) The centroid of the area, (b) The area moment…
A: Centroid is the point inside or outside the body at which the whole of its mass is concentrated. It…
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- A parent exerts a force of F = 115 N tangent to playground merry-go-round for t = 1.84 seconds. The merry-go-round has a radius of 3.50 m and moment of inertia I = 325 kg×m2. If it starts from rest, find the: a) angular acceleration (a), b) tangential acceleration (at), c) final angular speed (wf), d) final kinetic energy (KER) Equations: t = Fr^ t = Ia at = r×a wf = wi + at KEr = ½ Iw2From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is MR² (b) 32 √2π (a) 4MR² 9√3π (c) MR² 16 √2 G4MR² (d) 3√3π politA cylinder of mass M=8 kg and radius R=20 cm slides down a frictionless hill from height H=10 m. At the bottom of the hill there is a plane with friction coefficient u=0.25. a) How far will the cylinder slide along the plane before it begins to roll smoothly? b) What will be the final speed of the center of mass of the cylinder? No friction 10 m Friction
- A 1.70-kg particle moves in the xy plane with a velocity of = (4.10 1-4.00 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is F (1.50 +2.20 j) m. + j+ k) kg - m²/sbage An arm swings from neutral (0 deg) to 94.3 deg flexion and then back 11.5 deg. Calculate the angular displacement 0 in radians to 2 decimal places. Answer: Check 1 g 4 Ps 8°C Heavy rain des Next page 4 22:07 03/12/2023 □Problem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass. Part (a) First calculate the moment of inertia (in kg m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11 m. sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Now calculate the moment of inertia of the skater (in kg m?) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated at the ends.
- A 7 kg point mass is at coordinates (5 m, 5 m), a 4 kg mass is at (-5,7) and a 5kg mass is at (x,y) of (4,-7). Find the moment of inertia about the x axis. Find Iz = __________ kg-m2A ball (in the form of a spherical shell which has a moment of inertia of 2/3 M R^2) rolls down a roof, then falls to the ground. The ball has a mass of 1.65 g and a radius of 15.0 cm. The roof is inclined at 20.0 degrees and the ball rolls a distance of 3 meters along the roof before falling off. a) What is the angular speed of the ball at the moment it leaves the roof? b) If the distance from the end of the roof to the ground is 2.50 m, how many revolutions does the ball make before it hits the ground?y 11 P a aa- X If a = 4 in, determine the moment of inertia about the x-axis located at point P.
- The object shown below is centered on the origin, and has a width of 20 cm in the x direction, 3 cm in the y direction, and 5 cm in the z direction. Around which axis does it have the lowest moment of inertia l?As a physics demonstration, a special bowling ball is made so that it can be rotated about its center of mass to get a feel for how "big" a moment of inertia of 1 kg⋅m2 is. The average bowling ball has a weight of 15.4 lbs and a circumference of 26.3 inbut it does not have a moment of inertia equal to 1 kg⋅m2.Since the sporting goods manufacturer has no understanding of how "big" 1 kg⋅m21 is, calculate the diameter ? demo of the demo bowling ball, in inches, that it will need to manufacture. Assume that bowling balls are solid, with a constant density. D of demo required in inches.A volley ball players 4.4 kg arm moves at an average angular velocity of 16 rad/s during the execution of a spike. if the average moment of inertia of the extending arm is 0.39 kg*m^2. what is the average radius of rotation for the arm during the spike?