ASAP 2) A hoop of mass M and radius R has an initial angular velocity wo at the bottom of a ramp ofangle 0 as shown. It rolls up the ramp without slipping, and the center of mass rises a maximumvertical amount h when it gets to the top of the ramp.a) Draw a free body diagram for the rolling hoop. Make sure the picture of the hoop is big enough so that Ican clearly see the force vectors drawn at the correct locations. Show the direction of acm and x/y axes.b) Write out the sum of torques on the hoop and make sure you show what the torqueon the ball. If the torque is zero, justify why that is the case. You must define your choice of axis.for EACH forcec) Derive an expression for the magnitude of angular acceleration a of the hoop in terms of g, R, and 0.What is the direction of a?d) Derive an expression for the maximum height h in terms of initial wo, g and R.e) As the hoop rolls, what % of the hoop's total kinetic energy is rotational kinetic energy?rest if R=0.05m, h=1.00m andf) How many revolutions does the hoop make to come to0= 20.0 deg?

(a) The free-body diagram of the hoop is: Where the force vector, N→ is the reaction force applied…

2) A hoop of mass M and radius R has an initial angular velocity wo at the bottom of a ramp of angle 0 as shown. It rolls up the ramp without slipping, and the center of mass rises a maximum vertical amount h when it gets to the top of the ramp. a) Draw a free body diagram for the rolling hoop. Make sure the picture of the hoop is big enough so that I can clearly see the force vectors drawn at the correct locations. Show the direction of acm and x/y axes. b) Write out the sum of torques on the hoop and make sure you show what the torque is for EACH force on the ball. If the torque is zero, justify why that is the case. You must define your choice of axis. c) Derive an expression for the magnitude of angular acceleration a of the hoop in terms of What is the direction of a? g, R, and 0. d) Derive an expression for the maximum height h in terms of initial wo, g and R. e) As the hoop rolls, what % of the hoop's total kinetic energy is rotational kinetic energy? f) How many revolutions does the hoop make to come to a rest if R=0.05m, h=1.00m and 0= 20.0 deg?

2) A hoop of mass M and radius R has an initial angular velocity wo at the bottom of a ramp of angle 0 as shown. It rolls up the ramp without slipping, and the center of mass rises a maximum vertical amount h when it gets to the top of the ramp. a) Draw a free body diagram for the rolling hoop. Make sure the picture of the hoop is big enough so that I can clearly see the force vectors drawn at the correct locations. Show the direction of acm and x/y axes. b) Write out the sum of torques on the hoop and make sure you show what the torque is for EACH force on the ball. If the torque is zero, justify why that is the case. You must define your choice of axis. c) Derive an expression for the magnitude of angular acceleration a of the hoop in terms of What is the direction of a? g, R, and 0. d) Derive an expression for the maximum height h in terms of initial wo, g and R. e) As the hoop rolls, what % of the hoop's total kinetic energy is rotational kinetic energy? f) How many revolutions does the hoop make to come to a rest if R=0.05m, h=1.00m and 0= 20.0 deg?

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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Mechanisms of heat transfer

Heat transfer is an essential discipline in thermal engineering that deals with the transfer, conversion, usability, and creation of heat or thermal energy. Transfer of heat occurs through various mechanisms like conduction, convection, radiation, and change of phases. All these mechanisms have distinct characteristics, but these mechanisms can simultaneously occur in an identical system.

Question

ASAP

2) A hoop of mass M and radius R has an initial angular velocity wo at the bottom of a ramp of
angle 0 as shown. It rolls up the ramp without slipping, and the center of mass rises a maximum
vertical amount h when it gets to the top of the ramp.
a) Draw a free body diagram for the rolling hoop. Make sure the picture of the hoop is big enough so that I
can clearly see the force vectors drawn at the correct locations. Show the direction of acm and x/y axes.
b) Write out the sum of torques on the hoop and make sure you show what the torque
on the ball. If the torque is zero, justify why that is the case. You must define your choice of axis.
for EACH force
c) Derive an expression for the magnitude of angular acceleration a of the hoop in terms of g, R, and 0.
What is the direction of a?
d) Derive an expression for the maximum height h in terms of initial wo, g and R.
e) As the hoop rolls, what % of the hoop's total kinetic energy is rotational kinetic energy?
rest if R=0.05m, h=1.00m and
f) How many revolutions does the hoop make to come to
0= 20.0 deg?

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