7.(a)A uniform prismatic rod of length I and mass m is placed in a verticalposition with one end on a smooth horizontal floor. It is then let go, andit falls to the floor from rest in the vertical position. Assuming that therod never loses contact with the floor, derive an expression for itsangular velocity at any position as shown in Figure 7(a).(b)(=0Figure 7(a)Determine the height h at which the billiard ball of radius r must bestruck so that no frictional force develops between the ball and thetable at 4 as shown in Figure 7(b). Assume that the cue only exerts ahorizontal force P on the ball.Take IG of the ball equal to (2/5)mr², where m is the mass of the ball.Figure 7(b)

Given Data: IG=2mr25 To Find: (a) The angular velocity of the rod. (b) Determine the height h.

Answered: A uniform prismatic rod of length / and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The 35 lb slender rod AB is 277 in. long and at rest in a horizontal position supported by a spring located at h = 226 in. from the suspension cable at B. If the cable at B fails, answer the following 1) Part A: Determine the magnitude of the acceleration of end A. 2) Part B: Determine the magnitude of the acceleration of end B. 3) Part C: Determine the angular acceleration of the rod.
2. A cord is wrapped around a homogeneous disk of radius r = 0.5 m and mass m = 14. 25 kg. If the cord is pulled upward with a force T of magnitude 171 N, determine a. the acceleration of the center of the disk, b. the angular acceleration of the disk, c. the acceleration of the cord. T 0.5 m Go A Draw the Free Body Diagram.
The 24-kg roll of paper has a radius of gyration KA = 90 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests against a wall for which the coefficient of kinetic friction is = 0.2 and a vertical force F = 27 Nis applied to the end of the paper. (Figure 1) Figure 300 mm 125 mm 1 of 1 ▼ Part A Determine the angular acceleration of the roll as the paper unrolls. Express your answer using three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. IVE ΑΣΦΑ ↓↑ vec α = Submit Provide Feedback Request Answer ? rad/s² Next >
A cylinder of mass m, radius r and radius of gyration k is released from rest and rolls without slipping down a plane inclined at an angle a to the horizontal. Use the conservation of energy or an alternative method to derive an expression for the acceleration of the cylinder down the slope due to gravity.
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Part A The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is uz = 0.12. The radius of gyration about the mass center is kg = 0.25 m (Figure 1) Determine the angular velocity of the spool, measured clockwise, when t = 6 s after it is released from rest. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. VO A£¢ !f vec ? W = rad/s Figure 1 of 1 > Submit Request Answer Provide Feedback Next > 0.4 m 0.2 m 30°
Problem 4. A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG = mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2 6.0 g G a -R-
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