A sheet of aluminum with a rectangular shape is attached to a vertical support by a set of hinges. Assume the sheet is uniform and has height 2.15 m, width 0.885 m, and mass 20.5 kg. Determine its moment of inertia (in kg · m2) for rotation on its hinges. Are any pieces of data unnecessary? (Select all that apply.) The height of the sheet is unnecessary. The mass of the sheet is unnecessary. The width of the sheet is unnecessary.

A sheet of aluminum with a rectangular shape is attached to a vertical support by a set of hinges. Assume the sheet is uniform and has height 2.15 m, width 0.885 m, and mass 20.5 kg. Determine its moment of inertia (in kg · m2) for rotation on its hinges. Are any pieces of data unnecessary? (Select all that apply.) The height of the sheet is unnecessary. The mass of the sheet is unnecessary. The width of the sheet is unnecessary.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 23P: Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b...

See similar textbooks

Similar questions

The bolts on the cylinder head of an engine require tightening to a torque of 76 m⋅N. If a wrench is 28 cm long, what force perpendicular to the wrench must the mechanic exert at its end? Express your answer to two significant figures and include the appropriate units. Answer is 270 N. If the six-sided bolt head is 15 mm across, estimate the force applied near each of the six points by a socket wrench. Express your answer to two significant figures and include the appropriate units.
A sheet of aluminum with a rectangular shape is attached to a vertical support by a set of hinges. Assume the sheet is uniform and has height 2.15 m, width 0.865 m, and mass 24.0 kg. (a)Determine its moment of inertia (in kg · m2) for rotation on its hinges. ____ kg · m2 (b) Are any pieces of data unnecessary? (Select all that apply.) The width of the sheet is unnecessary. The mass of the sheet is unnecessary. The height of the sheet is unnecessary. No; all of the data are necessary.
A rectangular sheet of plywood is attached to a vertical support by a set of hinges. Assume the sheet is uniform and has height 2.15 m, width 0.875 m, and mass 21.0 kg. (a) Determine its moment of inertia (in kg · m2) for rotation on its hinges. _________kg · m2 (b) Are any pieces of data unnecessary? (Select all that apply.) The mass of the sheet is unnecessary. The width of the sheet is unnecessary. The height of the sheet is unnecessary. No; all of the data are necessary.
As a torque activity, your Physics TA sets up the arrangement shown below. A uniform rod of mass mr = 143 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r1 = 10.0 cm and r2 = 90.0 cm mark, passed over pulleys, and masses of m1 = 286 g and m2 = 177 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle ?F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 = m Fp = N ?F = ° (b) Let's now remove the mass m3 and determine the new…
The figure below shows forces acting at various points on a metal shaft. The angles ? = 48°, ? = 35°, ? = 21°. The length ℓ = 3.6 m. Find the net torque (in N · m) on the shaft about the following axes. An axis through O perpendicular to the page (magnitude and direction) An axis through C perpendicular to the page (magnitude and direction)
A wheel of radius 69 cm, mass 5 kg, and moment of inertia 1.19025 kg m^2 is mounted on a frictionless, horizontal axle as in the figure below. A light cord wrapped around the wheel supports an object of mass 1.2 kg. Find the tension T in the cord. The acceleration of gravity is 9.8 m/s ^2 . Answer in units of N.
A rectangular bar is hinged at point O. The bar is 3.00 m long and 2.00 m wide. Find the torque resulting from the following force about an axis through point O: F1 = 1 N. Use a positive for a counterclockwise torque and a negative for a clockwise torque.
A mechanic loosening a nut and found that the nut needs a torque with a magnitude of 46 N · m. If the mechanic grasps the wrench as shown in the figure below. The distance between his hand and the center of nut r = 0.33 m and the angle between his hand and the wrench is θθ = 50 degrees. Determine the magnitude of the force F (in newtons) she must exert on the wrench.
Suppose you exert a force of 192 N tangential to a 0.235 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.) N · m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 20.6 N exerted 2.50 cm from the axis? (Enter the magnitude.) rad/s2
Suppose you exert a force of 207 N tangential to a 0.275 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.) N. m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) |rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 1.25 cm from the axis? (Enter the magnitude.) rad/s2 Additional Materials O Reading
The 60.1cm diameter disk rotates counterclockwise on an axle through its center. F1=17.5N, F2=43.2N, F3=43.2N, F4=17.5N, and d=4.58cm. What is the net torque about the axle? Let the counterclockwise direction be positive.
Suppose you exert a force of 212 N tangential to a 0.295 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.) N: m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 2.00 cm from the axis? (Enter the magnitude.) rad/s2