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Q29.) What is the natural period of these oscillations? 3R R B) 2n 29 C) 2n 2R E) 2n R A) T D) T 2g Q30.) What is the value of the radius R for which the oscillations of the hoop correspond to a second pendulum? A) 1 cm B) 50 cm C) 25 cm E) 6.25 cm D) 12.5 cm Q31.) What is the expression of the linear velocity of the point A diametrically opposite to 0, when passing through the equilibrium position? A) /2gR(1 – cos0) B) 2R R(1-sineo) C) 2R/g(1– cos®.) D) 2R E) /2gR(1– sin0) R(1-cose,)

Q29.) What is the natural period of these oscillations? 3R R B) 2n 29 C) 2n 2R E) 2n R A) T D) T 2g Q30.) What is the value of the radius R for which the oscillations of the hoop correspond to a second pendulum? A) 1 cm B) 50 cm C) 25 cm E) 6.25 cm D) 12.5 cm Q31.) What is the expression of the linear velocity of the point A diametrically opposite to 0, when passing through the equilibrium position? A) /2gR(1 – cos0) B) 2R R(1-sineo) C) 2R/g(1– cos®.) D) 2R E) /2gR(1– sin0) R(1-cose,)

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 7PQ: A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of...
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Answer Q29, 30, 31

Q26.) What is the expression of the moment of inertia of the hoop with respect to the axis A? A) mR? B) 2mR2 C)mR? D) 4mR? E)mR² Q27.) Concerning the motion of the hoop, which of the following proposals is false? A) Its oscillations are forced B) Its oscillations are harmonic C) Its oscillations are free D) It is a heavy pendulum E) Its oscillations are not damped Q28.) What is the differential equation of the motion of the hoop? A) ò +유0=0 B)6+400=0 C) Ö +0 = 0 D) Ö +200 = 0 E) Ö + 0 = 0 4R R 2R 3R Q29.) What is the natural period of these oscillations? 3R B) 2n R R D) n 2g 2R A) T C) 27 E) 2n 2g Q30.) What is the value of the radius R for which the oscillations of the hoop correspond to a second pendulum? A) 1 cm B) 50 cm C) 25 cm D) 12.5 cm E) 6.25 cm Q31.) What is the expression of the linear velocity of the point A diametrically opposite to 0, when passing through the equilibrium position? A) /2gR(1 – cos0) B) 2R R(1-sinea) C) 2R/g(1 – cos0) D) 2R E) /2gR(1 – sin0,) R(1-cose.) Q32.) The system is modified by fixing at point A, a point ball of the same size as the hoop. What is the distance between the new centre of inertia and point 0? A)R B)R 이를R D)를R E)R Q33.) What is the new moment of inertia? A) 6mR? B) 4mR? C) 3mR? D) 2mR? E) mR2
Transcribed Image Text:Q26.) What is the expression of the moment of inertia of the hoop with respect to the axis A? A) mR? B) 2mR2 C)mR? D) 4mR? E)mR² Q27.) Concerning the motion of the hoop, which of the following proposals is false? A) Its oscillations are forced B) Its oscillations are harmonic C) Its oscillations are free D) It is a heavy pendulum E) Its oscillations are not damped Q28.) What is the differential equation of the motion of the hoop? A) ò +유0=0 B)6+400=0 C) Ö +0 = 0 D) Ö +200 = 0 E) Ö + 0 = 0 4R R 2R 3R Q29.) What is the natural period of these oscillations? 3R B) 2n R R D) n 2g 2R A) T C) 27 E) 2n 2g Q30.) What is the value of the radius R for which the oscillations of the hoop correspond to a second pendulum? A) 1 cm B) 50 cm C) 25 cm D) 12.5 cm E) 6.25 cm Q31.) What is the expression of the linear velocity of the point A diametrically opposite to 0, when passing through the equilibrium position? A) /2gR(1 – cos0) B) 2R R(1-sinea) C) 2R/g(1 – cos0) D) 2R E) /2gR(1 – sin0,) R(1-cose.) Q32.) The system is modified by fixing at point A, a point ball of the same size as the hoop. What is the distance between the new centre of inertia and point 0? A)R B)R 이를R D)를R E)R Q33.) What is the new moment of inertia? A) 6mR? B) 4mR? C) 3mR? D) 2mR? E) mR2
A homogenous hoop of mass m and radius R is suspended in 0, to a horizontal axis A perpendicular to the plane of the hoop. It is moved away from the equilibrium position to an angle 0, and then released without initial velocity. The position of the hoop is located by an angle 0 between OG and the vertical (OG being the center of inertia of the hoop). Neglecting all the frictional forces.
Transcribed Image Text:A homogenous hoop of mass m and radius R is suspended in 0, to a horizontal axis A perpendicular to the plane of the hoop. It is moved away from the equilibrium position to an angle 0, and then released without initial velocity. The position of the hoop is located by an angle 0 between OG and the vertical (OG being the center of inertia of the hoop). Neglecting all the frictional forces.
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