4а.Show that the torque t = la, where I is the rotational inertia.Consider the pulley system shown in figure 4. Suppose the pulley is made upof a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a.Find the moment of inertia I, of the pulley through the center of mass.4b.Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, µk.You may assume that there is no slipping between the pulley and the ropeand the mass of the rope is negligibly small in comparison with the mass M1,and M2. The coefficient of friction between M2 and the incline is µk with M1>M2.4c.MrmdMKouter ving(Mr)Centraldise(Ma)RIaxis atRAzti onX- Sedi on a pullag

torque; t force = F, radius=r, α=angular acceleration, I=MOI t = F×r t = Frsin(θ) t = ma.rsin(θ) θ…

Show that the torque t = la, where I is the rotational inertia. Consider the pulley system shown in figure 4. Suppose the pulley is made up of a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a. Find the moment of inertia Ip of the pulley through the center of mass. Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, Hk. You may assume that there is no slipping between the pulley and the and the mass of the rope is negligibly small in comparison with the mass M1, and M2. The coefficient of friction between M2 and the incline is pk. with Mı> M2. гоpe

Show that the torque t = la, where I is the rotational inertia. Consider the pulley system shown in figure 4. Suppose the pulley is made up of a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a. Find the moment of inertia Ip of the pulley through the center of mass. Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, Hk. You may assume that there is no slipping between the pulley and the and the mass of the rope is negligibly small in comparison with the mass M1, and M2. The coefficient of friction between M2 and the incline is pk. with Mı> M2. гоpe

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.

Question

4а.
Show that the torque t = la, where I is the rotational inertia.
Consider the pulley system shown in figure 4. Suppose the pulley is made up
of a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a.
Find the moment of inertia I, of the pulley through the center of mass.
4b.
Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, µk.
You may assume that there is no slipping between the pulley and the rope
and the mass of the rope is negligibly small in comparison with the mass M1,
and M2. The coefficient of friction between M2 and the incline is µk with M1>
M2.
4c.
Mr
md
MK
outer ving
(Mr)
Central
dise
(Ma)
RI
axis at
RAzti on
X- Sedi on a pullag

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