PART AA uniform meter stick of 0.5kg in mass is pivoted at the 25cm mark as shown in the diagram.pivot30°E 25cm0.2kg0.3kg(a) What is the magnitude of the total torque about the pivot point (do not forget the torquedue to the weight of the meter stick). What is the direction of the total torque as a vector?(b) What is the moment of inertia of the meter stick about the pivot? What is the angularacceleration? PART BRolling without slippingMyaX4(a) What is the moment of inertia of the sphere in terms of M and R?(b) Draw all the forces acting on the solid sphere in the above figure.(c) Using Newton's Second Law, write down the equation of motion for the center of the spherealong the x-direction defined in the figure.(d) Using Newton's Second Law for rotational motion, write down the equation of rotationalmotion.(e) Solve for the acceleration a from the two equations you obtained in parts (c) and (d).Assume the sphere is rolling without slipping, so do not forget there is a relationship between aand a.

First Question is solved as per policy. Given, Mass hanging at the left most end = m1 = 0.3 kg…

PART A A uniform meter stick of 0.5kg in mass is pivoted at the 25cm mark as shown in the diagram. pivot 30° 25cm 0.2kg 0.3kg (a) What is the magnitude of the total torque about the pivot point (do not forget the torque due to the weight of the meter stick). What is the direction of the total torque as a vector? (b) What is the moment of inertia of the meter stick about the pivot? What is the angular acceleration?

PART A A uniform meter stick of 0.5kg in mass is pivoted at the 25cm mark as shown in the diagram. pivot 30° 25cm 0.2kg 0.3kg (a) What is the magnitude of the total torque about the pivot point (do not forget the torque due to the weight of the meter stick). What is the direction of the total torque as a vector? (b) What is the moment of inertia of the meter stick about the pivot? What is the angular acceleration?

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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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

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PART A
A uniform meter stick of 0.5kg in mass is pivoted at the 25cm mark as shown in the diagram.
pivot
30°
E 25cm
0.2kg
0.3kg
(a) What is the magnitude of the total torque about the pivot point (do not forget the torque
due to the weight of the meter stick). What is the direction of the total torque as a vector?
(b) What is the moment of inertia of the meter stick about the pivot? What is the angular
acceleration?

PART B
Rolling without slipping
M
y
a
X4
(a) What is the moment of inertia of the sphere in terms of M and R?
(b) Draw all the forces acting on the solid sphere in the above figure.
(c) Using Newton's Second Law, write down the equation of motion for the center of the sphere
along the x-direction defined in the figure.
(d) Using Newton's Second Law for rotational motion, write down the equation of rotational
motion.
(e) Solve for the acceleration a from the two equations you obtained in parts (c) and (d).
Assume the sphere is rolling without slipping, so do not forget there is a relationship between a
and a.

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