A rod extends from x = 0 m to x = 2.3 m. It has a linear mass density given by: λ(x) = 9 x2 (kg/m). Calculate the rotational inertia of this rod if it is rotated about its center of mass, in kg m2. (Please answer to the fourth decimal place - i.e 14.3225)
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A rod extends from x = 0 m to x = 2.3 m. It has a linear mass density given by:
λ(x) = 9 x2 (kg/m).
Calculate the rotational inertia of this rod if it is rotated about its center of mass, in kg m2.
(Please answer to the fourth decimal place - i.e 14.3225)
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- Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a)What torque (in N · m) is exerted? (Enter the magnitude.) (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 21.6 N exerted 2.50 cm from the axis? (Enter the magnitude.)In the figure here, a cylinder having a mass of 1.5 kg can rotate about its central axis through point O. Forces are applied as shown: F₁ = 3.1 N, F2 = 9.3 N, F3 = 6.0 N, and F4 = 9.1 N. Also, r = 7.0 cm and R = 17 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Number FA Rotation axis F₁ Unit 7A 0.75-m-diameter solid sphere can be rotated about an axis through its center by a torque of 11.8 m∗N which accelerates it uniformly from rest through a total of 150 revolutions in 15.0 s. What is the mass of the sphere? (Please list step by step for me to follow along and each equation needed to be used).
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