6-75. Determine the moment of inertia for the area about the y axis.
Q: 10. (a) Show that the moment of inertia of a uniform hollow cylinder of inner radius R1, outer…
A: Solution:-Step 1: Step 2: Step 3:
Q: The moment of inertia of a solid sphere about an axis passing through the centre of gravity is 2/5MR…
A: By parallel axis theorem, the moment of inertia at 2R is I = (2MR2/5) + M(2R)2 I = 22MR2/5
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: 6. Find the angular momentum of Earth around the Sun. Also find the angular momentum of a rod about…
A: Mass , M = 500 gm = 0.5 kg Length , L = 4 m To find = Moment of inertia
Q: During a dive, a 44 kg diver has a final radius of gyration of 0.3 m and an angular velocity of 620…
A:
Q: Determine the moment of inertia about the x-axis of the area shown in Figures 10. 160 mm 400 mm X X…
A:
Q: 21
A:
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: Determine the moment of inertia of a solid sphere of mass 64kg and radius 65.8cm about an axis that…
A:
Q: IV. A uniform solid ball with mass M and radius R rolls alone a horizontal surface with a constant…
A: The moment of inertia of the solid ball I=25MR2Where, M is the mass of the ball and R is the radius…
Q: Determine the moment of inertia of a 13.2 kg sphere of radius 0.421 m when the axis of rotation is…
A: Given data:Mass of the sphere (m) = 13.2 kgRadius of the sphere (R) = 0.421 mNeed to determine the…
Q: Explain moment of inertia.
A: Moment of Inertia is the product of mass and square of the perpendicular distance to the rotational…
Q: Determine the moment of inertia of this system about an axis perpendicular to the rod at its center.…
A:
Q: Determine the moment of inertia of a 12.7 kgkg sphere of radius 0.425 mm when the axis of rotation…
A:
Q: Calculate the moment of inertia for a hollow sphere, whose density with homogeneous distribution is…
A:
Q: 3. A sphere and a hoop, both with mass M, radius R, and moments of inertia of Isphere =MR² and Inoop…
A:
Step by step
Solved in 2 steps with 3 images
- Problem A) At a circus you see a man spinning plates with radii of 75 cm on top of long poles. The plates have a constant angular acceleration of 0.6 rad/s?. Assuming the plates start from rest, after a time of 8 seconds calculate a) how many revolutions they have made, b) their angular velocity, c) their tangential acceleration, d) their radial acceleration, and e) their overall acceleration, magnitude and direction with respect to the edge of the disk.(7%) Problem 10: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. Suppose she produces an angular acceleration of 30.5 rad/s² and her lower leg has a moment of inertia of 0.75 kg-m? . What is the force, in newtons, exerted by the muscle if its effective perpendicular lever arm is 2.1 cm? Grade Summary F = | Deductions 0% Potential 100% Submissions tan() sin() cotan() atan() cosh() oDegrees cos() 7 8. 9. НОME Attempts remaining: 10 (0% per attempt) detailed view asin() E 1^^ 4 acos() sinh() cotanh() 5 * acotan() tanh() 2 3 + END - Radians VOl BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. 1.(a) Determine the centroidal polar moment of inertia of a circular area by direct integration. (b) Using the result of part (a), determine the moment of inertia of a circular area with respect to a diameter.
- A 0.45 kg tetherball is attached to a pole and rotating in a horizontal circle of radius r₁ = 1.4 m and is circling at angular speed = 1.42 rad/s. As the rope wraps around the pole the radius of the circle shortens and became r2 = 0.9 m, that decreases the moment of inertia of the rotating tetherball. Neglecting air resistance what will be the angular speed of the ball after the rope is wrapped around the pole measured in kgm2/s (answer with 3 decimal places)? AFind the moment of inertia about y-axis if each mass is equal to 1 kg (in kg×m2)