34 uniform solid spheres ave the but one has twice the radius of the other. The

Question

34 uniform solid spheres ave the but one has twice the radius of the other. The ratio of the same mass, larger sphere's moment of inertia to that of the smaller sphere is a) 4/5 b) 8/5 d) 4 35. A wheel of diameter 26 cm tums How far will a point on the outer rim move in 20 s? at 1500 rpm. a) 180 m b) 90 m. c) 41 m d) 3.1 m 36. A 1.53 kg mass hangs on rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66 cm. what is the angular acceleration of the pulley? a) 4.49 rads? c) 9.87 rad s 37. The angular momentum of a rotating object is initially L 2i 4j and later it is L, 3i 8 j. The 2s units in kg-m's. The torque that produces the change in angular momentum is are a N m i 2N.mj -0.5 b 0.5 N.mit2N mj IN..m i-4 N.mj e none of the above

Explanation / Answer

34) I = 2/5 M R^2
so twice radius means 4 times I

so d)

35) theta = w t

s = r theta = w r t = (1500*2*pi/60)*.13*2= 41 m

so c)

36)

sum forces for mass

mg - T = ma

for pulley

rT = I alpha = 1/2 M r^2 alpha

T = 1/2 M a

so

m g - 1/2 M a = ma

1.53*9.81 -0.5*7.07*a = 1.53*a

a=2.96 m/s^2

alpha = a/r =2.96/.66= 4.49

so a)

37)

torque = dL/dt

dL = 1 i + 4 j

so dL/dt = 0.5 i + 2 j

so b)

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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