A vertical rectangular object of uniform mass M=14.4kg has sides a=0.8m and b=D3.8m. It is pivoted from point O as shown in the figure below. If a constantforce of F=87N, making an angle of B=37° with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figureusing Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) when expressing your answer.Hinty: The moment of inertia of the rectangie obout on axis of rotation possing through its center of mass is12Hint2: Don't forget the force of grovity! Take g=9.80 m/s?.FCMab

Given: The mass of the block is 14.4 kg. The length of side a is 0.8 m. The length of side b is 3.8…

A vertical rectangular object of uniform mass Ma14.4kg has sides am0.8m and b=3.8m. It is pivoted from point O as shown in the figure below. If a constant force of Fa87N, making an angle of B=37° with the diagonal, is applied, decermine the angular acceleration of the rectangie at the instant shown in the figure using Si units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) vwhen expressing your answer. Hint;: The moment of inertia of the rectangle about an axis of rotation possing through its center of mass is Hintz: Don't forget the force of grovity! Take g=9.80 m/s?. F CM a

A vertical rectangular object of uniform mass Ma14.4kg has sides am0.8m and b=3.8m. It is pivoted from point O as shown in the figure below. If a constant force of Fa87N, making an angle of B=37° with the diagonal, is applied, decermine the angular acceleration of the rectangie at the instant shown in the figure using Si units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) vwhen expressing your answer. Hint;: The moment of inertia of the rectangle about an axis of rotation possing through its center of mass is Hintz: Don't forget the force of grovity! Take g=9.80 m/s?. F CM a

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

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.) N. m (b) What is the angular acceleration (in rad/s?) 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 20.6N exerted 3.00 cm from the axis? (Enter the magnitude.) rad/s2
A vertical rectangular object of uniform mass M=7kg has sides a=0.22m and b=0.61m. It is pivoted from point Oas shown in the figure below. If a constant force of F=75N, making an angle of ?β=51o with diagonal is applied, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal places. Please use the convention: Clockwise (+), Counterclockwise (-)when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is ???=1/12M(a2+b2). Hint 2: Don't forget the force of gravity!!! Take g=9.80m/s2.
A vertical rectangular object of uniform mass M = 6 kg has sides a = 0.31 m and b = 0.46 m. It is pivoted from point O as shown in the figure below. If a constant force of F = 145 N along the diagonal is applied as shown below, determine the angular acceleration of the rectangle in Sl units at the instant shown. Express your answer using one decimal place. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is ICM = M(a² + b). Hint 2: Don't forget the force of gravity! Take g = 9.80 m/s2. F CM a b Answer:
Suppose you exert a force of 227 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/s?) 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 22.6 N exerted 2.50 cm from the axis? (Enter the magnitude.) rad/s2
Suppose you exert a force of 172 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/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) |rad/s?
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
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
A vertical rectangular object of uniform mass M=19.4kg has sides a=0.6m and b=2.6m. It is pivoted from point O as shown in the figure below. If a constant force of F=104N, making an angle of B=40° with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangle about an axis of rotation passing through its center of mass is ICF Ma?+ b?) Hint2: Don't forget the force of gravity!!! Take g=9.80 m/s?. F CM а
A vertical rectangular object of uniform mass M=10.5kg has sides a=0.7m and b=2.7m. It is pivoted from point O as shown in the figure below. If a constant force of F=58N, making an angle of B=830 with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangle about an axis of rotation passing through its center of mass is 1 I CHF Ma?+b?) 12 Hint2: Don't forget the force of gravity!!! Take g=9.80 m/s². F CM a b
A vertical rectangular object of uniform mass M=8kghas sides a=0.3m and b=0.57m. It is pivoted from point O as shown in the figure below. If a constant force of F=91N, making an angle of β=48o with diagonal is applied, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is ???=112?(?2+?2)ICM=112M(a2+b2). Hint 2: Don't forget the force of gravity!!! Take ?=9.80m/s2g=9.80m/s2.
A vertical rectangular object of uniform mass M=14.4kg has sides a=0.8m and b=3.8m. It is pivoted from point O as shown in the figure below. If a constant force of F=87N, making an angle of B=37° with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangie obout an axis of rotation possing through its center of mass is 12 Hint2: Don't forget the force of grovity!! Take g=9.80 m/s?. F „CM a b
A vertical rectangular object of uniform mass M=14.4kg has sides a=0.8m and b=D3.8m. It is pivoted from point O as shown in the figure below. If a constant force of F=87N, making an angle of 8=37° with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) when expressing your answer. Hint7: The moment of inertia of the rectangle obout on axis of rotation possing through its center of mass is - M(a²- Hint2: Don't forget the force of grovity!! Take g=9.80 m/s?. F B CM a