1. Derive an expression for the moment of inertia of a rod of length L and mass M about an axis passing through a point L/4 from an end and perpendicular to its length using the parallel axis theorem. ML²]
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![1. Derive an expression for the moment of inertia of a rod of length
L and mass M about an axis passing through a point L/4 from an
end and perpendicular to its length using the parallel axis theorem.
ML]
L/4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43c30f87-51c4-4462-bdc3-b7e72929cee1%2Fbab7084f-b70f-4da1-917e-a39a466c44e2%2Fi3y96b_processed.jpeg&w=3840&q=75)
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- A wheel with moment of inertia 3.00 kg x m^2 has a net torque of 3.50 Nxm applied to it. What angular acceleration does it experience? A) 1.17rad/s^2 B) 0.857 rad/s^2 C) 3.50 rad/s^2 D 3.00 rad/s^2Question 2 What is an object's moment of inertia if a torque of 40 Nm created an angular→ acceleration of 20 rad /s²? Note: 1 rad or radian = approximately 57.3 degrees. Radians are an alternative measure of an angle to degrees and are used in physics calculations. O 0.5 kgm/s 800 kgm^2 O 0.5 kgm^2 2 kgm^2 < Previous # hp Ⓡ Next ▸ .3 Geodynamo The mass of the earth is M = 6.0 x 1024 kg and its radius is R = 6.4 x 10° m. (a) Estimate the rotational kinetic energy of the earth, in joules (J). (b) The world's annual power consumption is about 20 TWh. If the earth's rotational kinetic energy could be converted to electrical power, how long could it supply energy to the human race, assuming our power consumption remained constant? Report your answer in seconds and in years.
- 19) A playground merry-go-round with a radius of 1.53 m and a rotational inertia of 103.3 kgm2 is stationary. A ogre with a mass of 30.3 kg gets on and walks around the edge of the merry-go-round. How many revolutions around the merry-go-round must the ogre make in order for the merry-go-round to make two full revolutions? a) 150revolutions b) 9.1 revolutions c) 2.9 revolutions d) 0.7 revolutions e) 4.6 revolutionsProblem 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.Calculate the moment of inertia of a thin rod of mass M and length L about an axis throu the rod at L/3 as shown below. You should see that your result should be the same whether you directly integrate or use the parallel-axis theorem. (You do not nee to enter any units.) L13 Axis -2L/3- 1/9mL^2 kg-m² Submit Answer Incorrect. Tries 4/40 Previous Tries Post Discussion Send Feedback
- (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.Thin rod about perpendicular line through one end A thing solid cylinder has a mass 6.58kg and a length 1.81 m. What is its moment of inertia (in unit of kg'm²) when it is rotating as shown above? (please search your physics text book or other sources for the correct formula for this situation, you lab manual does not necessarily have the formula.)ii) A uniform sphere made of modeling clay has radius R and moment of inertia I₁ for rotation about a diameter. It is then flattened to a disk with the same radius R. What is the moment of inertia of the disk, Id, in terms of I₁? a. Id=511/4 b Id = 511/2 c. Id = 511 d. Id = 411/5 e. Id = 211/5 f. Id = I1/5