A pulley with mass Mp and a radius Rp is attached to the ceiling and rotates wit

Question

A pulley with mass Mp and a radius Rp is attached to the ceiling and rotates with no friction about its pivot. Mass M2 is larger than mass m1. The quantities T and g are the magnitudes of the various tensions and the gravitational acceleration. C.M. = center of mass. Select T-True, F-False, G-Greater than, L-Less than, E-Equal to. If the first is T, the second L and the rest E, enter A 28.5-kg block(m1) is on a horizontal surface, connected to a 6.1-kg block m2) by a massless string as shown in the Figure below. The frictionless pulley has a radius R 5.3 cm and a moment of inertia I 0.09 kg.m2. A force F 219.3 N acts on m1 at an angle theta 30.3 degree. There is no friction between m1 and the surface. What is the upward acceleration of m2?

Explanation / Answer

a)E
b)L
c)L
d)L
e)F
f)E

part 2:
for m1:

F*cos theta-T1=m1*a1

for the pulley:
(T1-T2)*r=I*a/r

for m2:

T2-m2*g=m2*a

adding all the equations:

219.3*cos(30.3)=28.5*a+6.1*9.8+6.1*a+0.09*a/(5.3*0.01)^2

solving for a:
a=1.9442 m/s^2

so upward acceleration willbe 1.9442 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.