See questions attached 4. A uniform plank 10m long is pivoted 2m from one end. A force of 30N is applied at the end as shownbelow:30 Na. Calculate the moment of the 30 N force?b. If the mass of the plank is 500g calculate its weight. (g = 10N/kg)c. On the diagram put in an arrow indicating the location and direction of the weight of the plank.d. Explain why the system is not balanced.e. Using the principle of moments to determine what distance from the pivot, a 10N force must beapplied to balance the plank

Step 1:Part (a): Calculate the moment of the 30 N forceThe moment (torque) M of a force is…

Answered: 4. A uniform plank 10m long is pivoted…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 2STP

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A boy stands at the center of a platform that is rotating without friction at 1.0 rev/s. The boy holds weights as far from his body as possible. At this position the total moment of inertia of the boy, platform, and weights is 5.0kgm2 . The boy draws the weights in close to his body, thereby decreasing the total moment of inertia to 1.5kgm2 . (a) What Is the final angular velocity of the platform? (b) By how much does the rotational kinetic energy increase?
A system of point particles is shown in the following figure. Each particle has mass 0.3 kg and they all lie in the same place. (a) What is the moment of inertia of the system about the given axis? (b) If the system rotates at 5 rev/s, what is its rotational kinetic energy?
A disk of mass m , radius R , and area A has a surface mass density =mrAR (see the following figure). What is the moment of inertia of the disk about an axis through the center?
A uniform disk of mass 500 kg and radius 0.25 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim fo the disk and pulled with a force of 10 N. (a) How much work has the force done at the instant the disk has completed three revolutions, starting from rest? (b) Determine the torque due to the force, then calculate the work done by this torque at the instant the disk has completed three revolutions? (c) What is the angular velocity at the instant? (d) What is the power output of the force at that instant?
The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?
A torque of 50.0Nm is applied to a grinding wheel (l=20.0kgm2) for 20 s. (a) If it starts from rest, what is the angular velocity of the grinding wheel after the troque is removed? (b) Through what angle does the wheel move while the torque is applied?
(a) Calculate the angular momentum of the Earth in its orbit around the Sun. (b) Compare this angular momentum with the angular momentum of Earth on its axis.
Unreasonable Results A gymnast doing a forward flip lands on the mat and exerts a 500- Nm torque to slow and then reverse her angular velocity. Her initial angular velocity is 10.0 rad/s, and her moment of inertia is 0.050kgm2. (a) What time is required for her to exactly reverse her spin? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?
This problem considers additional aspects of example Calculating the Effect of Mass Distribution on a Merry-Go-Round. (a) How long does it take the father to give the merry-go-round an angular velocity of 1.50 rad/s? (b) How many revolutions must he go through to generate this velocity? (c) If he exerts a slowing force of 300 N at a radius of 1.35 m, how long would it take him to stop them?
A simple pendulum consists of a small object of mass 3.0 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 5.0 angle with the vertical. (b) Does the torque increase or decrease as the angle increases? Explain. Figure P8.6
Q2: For the block shown in the figure below, the 40 lb. 20 force is passing through points EF, the 50 Ib. force is passing through points JB, and the force 20 lb. is passing through point C. 1. Find the resultant force and its directions. 2. Determine the resultant moment of three forces in Figure about the x-axis, the y-axis, and the z-axis. dimensions in inch
Situation 4. The rectangular plate is made up of 0.3-m squares as shown. A 150-N force is applied at point A in the direction shown. 150 N 0.3 m 0.3 m Lu-x B 11. Determine the perpendicular distance of the force from point B. a. 0.42 m b. 0.83 m d. 1.16 m c. 0.92 m 12. If the moment of the given force about point B is 200 N-m, what should be the dimension of each square? a. 0.34 m b. 0.44 m c. 0.48 m d. 0.96 m

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