As shown in the figure below, two blocks are connected by a string of negligible
ID: 2215372 • Letter: A
Question
As shown in the figure below, two blocks are connected by a string of negligible mass passing over a pulley of radius0.140m and moment of inertiaI. The block on the frictionless incline is moving with a constant acceleration of magnitudea=1.40m/s2. (Letm1=14.0kg,m2=21.0kg, and?= 37.0?.) From this information, we wish to find the moment of inertia of the pulley.
(c) find the tensionT1.
(d) find the tensionT2.
(e) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensionsT1andT2, the pulley radiusr, and the accelerationa.
(f) Find the numerical value of the moment of inertia of the pulley.
Explanation / Answer
c) T1-m1*g*sin=m1*a1
T1=102.169 N
d)as the string remains taut all the time a1=a2(downwards)=1.40 m/s^2
m2*g-T2=m2*a2
T2=176.4N
e)=angular acceleration of pulley = a1/r (assuming no slipping over the pulley)
moment balance about the pulley's center gives:
T2*r-T1*r=I*
f) or I=(T2-T1)*r^2/a1 = 1.03194 kgm^2
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.