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Problems with solutions

I.D Level Problem Problem Topic
568 High school

Equilibrium

The drawings at “click here” shows a lower leg being exercised. It has a F = 59 N weight attached to the foot and is extended at an angle theta with respect to the vertical . consider rotational axis at the knee.

(a) When theta is 90 degree , find the magnitude of the torque that the weight creates .

. . . continues
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Rotational Mechanics
569 High school

Equilibrium

The drawing shows (at ‘click here’) a person (weight W = 582 N , L1 = 0.827 m , L2 = 0.419 m) doing-push ups . Find the normal force exerted by the floor on each hand and each foot , assuming that the person holds this position . . . . continues
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Rotational Mechanics
570 High school

Equilibrium

A 1250 N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end . A W = 1940 N crate hangs from the far end of he beam .

(a) Calculate the magnitude of the tension in the wire .

(b) Calculate the magnitude of the horizontal and vertical components of the force that . . . continues
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Rotational Mechanics
571 High school A uniform solid disk with a mass of 28.3 kg and a radius of 0.464 m is free to rotate about a frictionless axle . Forces of 90.0 N and 125 N are applied to the disk , as the picture at “click here” illustrates .

(a) What is the net torque produced by the two forces ? ( Assume counterclockwise is the positive direction.)

(b) What is the . . . continues
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Rotational Mechanics
572 High school A rotating door is made from four rectangular glass panes. As shown in the drawing . The mass of each pane is 87 kg . A person pushes on the outer edge of the one pane with a force of F = 56 N that is directed perpendicular to the pane . Determine the magnitude of the doors angular acceleration . . . . continues
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Rotational Mechanics
573 High school A solid cylindrical disk has a radius of 0.20m . It is mounted to an axle that is perpendicular to the circular -end of the disk at its center . When a 35 N force is applied tangentially to the disk , perpendicular to the radius , the disk acquires an angular acceleration of 130 rad/s^2 . What is the mass of the disk ? . . . continues
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Rotational Mechanics
574 High school A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center . Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars . The gasoline burned in a 370 mile tip in a typical midsize car produ . . . continues
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Rotational Mechanics
575 High school Assume that the earth is a uniform sphere and tht its path around the sun is circular .

(a) Calculate the kinetic energy that the earth has because of its rotation about its own axis . For comparison , the total energy used in the United States in one year is about 9.33 x 10^9 J .

(b) Calculate the kinetic energy that the earth has . . . continues
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Rotational Mechanics
576 High school A helicopter has two blades as shown in the figure at ”click here“ each of which has a mass of 240 kg and can be approximated as a thin rod of length R = 7.7m . The blades are rotating at an angular speed of 47 rad/s .

(a) What is the total moment of inertia of the two blades about the axis of rotation ?

(b) Determine the rotational . . . continues
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Rotational Mechanics
577 High school A flat uniform circular disk (radius = 2.50 m , mass = 1.00 x 10^2 kg ) is initially stationary . The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the centre of the disk . A 40.0 kg person , standing 1.70 m from the axis , begins to run on the disk in a circular path and has a tangential speed . . . continues
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Rotational Mechanics
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