g) Eliminate ? from the rotational second law with the expression found in part (d) and find a symbolic expression for the acceleration a in terms of m, M, g, r and R. a = (h) What is the numeric value for the system's acceleration? m/s2 (i) What is the tension in the string? N (j) How long does it take the system to drop 1.17 m from rest

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g) Eliminate ? from the rotational second law with the expression found in part (d) and find a symbolic expression for the acceleration a in terms of m, M, g, r and R.
a =

(h) What is the numeric value for the system's acceleration?
m/s2

(i) What is the tension in the string?
N

(j) How long does it take the system to drop 1.17 m from rest?
s

Daily
My bills
English
علوم القران
my class
Kean
positive
O negative
Is the angular acceleration positive or negative?
O positive
O negative
What about the translational acceleration?
O positive
O negative
(d) Write an equation for the angular acceleration a (alpha) in terms of the translational acceleration a and radius r. (Watch the sign!)
Transcribed Image Text:Daily My bills English علوم القران my class Kean positive O negative Is the angular acceleration positive or negative? O positive O negative What about the translational acceleration? O positive O negative (d) Write an equation for the angular acceleration a (alpha) in terms of the translational acceleration a and radius r. (Watch the sign!)
oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kg and radius R = 10.9 cm. The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass
= 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are
e calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest.
%3D
00
R
R
M
M
(a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above as necessary. Do not substitute numerical values; use variables
only.)
mr + 2MR
(b) What torque does gravity exert on the system with respect to the given axis?
Transcribed Image Text:oversized yo-yo is made from two identical solid disks each of mass M = 1.90 kg and radius R = 10.9 cm. The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are e calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest. %3D 00 R R M M (a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above as necessary. Do not substitute numerical values; use variables only.) mr + 2MR (b) What torque does gravity exert on the system with respect to the given axis?
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