SAMPLE PROBLEMS: 111-SET #9 ROTATIONAL MOTION PROBLEMS: 09-1 1) A grinding wheel starts from rest and has a constant angular acceleration of 5 rad/sec2. At t = 6 seconds find the centripetal and tangential accelerations of a point 75 mm from the axis. Determine the angular speed at 6 seconds‚ and the angle the wheel has turned through. |We have a problem of constant angular acceleration. The figure & coordinate system are |[pic]
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zero while the second condition states that the sum of all torques is zero. The objectives of the experiments are as follows: 1. To determine the equilibrant force using the force table and component method 2. To determine the unknown forces using the first condition and second condition for equilibrium 3. To locate the center of gravity of a composite body 4. To demonstrate rotational equilibrium II. Theory Torque – also known as the “Turning Force”‚ is a vector that measures
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point mass or body centre of mass (BCM) rigidly attached to an axis of rotation. The dynamics of the pendulum movement are governed by the gravitational torque operating mgr sin (θ ) ̈where: m = gymnast body mass g = acceleration due to gravity r = pendulum length (θ ) ̈= angular deviation from the vertical or handstand point This torque results in a rotational acceleration ((θ ) ̈) modulated by the moment of inertia (I(θ ) ̈= mr2(θ ) ̈). The system can therefore be described by the following
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ES184 Mechanics‚ Structures and Thermodynamics Inertia Laboratory Report Summary The objective of this report is to find the Moment of Inertia of a disc by means of investigating the use of rotational motion. We then used the results of the experiments to plot a graph showing the relationship between the mass of the weight with the time taken by load to pass the distance of length of the string. Three different size discs were used in these experiments to determine the influence the
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Mechanical advantage is a measure of the force amplification achieved by using a tool‚ mechanical device or machine system. Ideally‚ the device preserves the input power and simply trades off forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever. Machine components designed to manage forces and movement in this way are called mechanisms. An ideal mechanism transmits power without adding to or subtracting from it. This means the ideal
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References: [1] URL: http://web.phys.ntu.edu.tw/semi/ceos/general.files/Proofs%20of%20moments%20of%20inertia%20equations.htm [2] URL: http://www.physics.uoguelph.ca/tutorials/torque/Q.torque.intro.html [3] URL: http://hyperphysics.phy-astr.gsu.edu/hbase/tdisc.html
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GEAR BOX high torque is required at the driving wheels when a vehicle is starting from rest‚ climbing a hill or accelerating. Gear set - permit the engine crankshaft to revolve at a relatively high speed while the wheels turn at slower speeds The driving force or tractive effort used must be equal to the total resistance of the forces opposing the motion of a vehicle and keeping it moving along a road at uniform speed [Air or wind resistance‚ gradient resistance‚ and Rolling resistance].
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take for the propeller to turn through 30.0 degrees? 9. A disk with a 1.0-m radius reaches a maximum angular speed of 18 rad/s before it stops 30 revolutions after attaining the maximum speed. How long did it take the disk to stop? 10. A net torque of 36 N.m acts on a wheel rotating about a fixed axis for
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Department of Civil Engineering International University (IU) MECHANICS OF MATERIALS LABORATORY Department of Civil Engineering Room 506‚ International University – Viet Nam National University HCMC Quarter 6‚ Linh Trung Ward‚ Thu Duc District‚ Ho Chi Minh City‚ Viet Nam. Phone: 848-37244270. Ext 3425 Fax: 848-37244271 www.hcmiu.edu.vn Mechanics of Materials Laboratory Course Outline No. ST01 ST02 ST03 ST04 ST05 ST06 Assessment • • Attendance: 10% Group Report: 90% (Each Lab Session:
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constant velocity. A simple mechanical body is said to be in equilibrium if no part of it is accelerating‚ unless it is disturbed by an outside force. Two conditions for equilibrium are that the net force acting on the object is zero‚ and the net torque acting on the object is zero. Thus‚ the following objectives were emphasized in this experiment: to determine the equilibrant force using the force table and the component method‚ to determine the unknown forces using the first condition and second
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