Part A - Two blocks, with masses m A and m B, are connected to each other AND to
ID: 1471224 • Letter: P
Question
Part A - Two blocks, with masses mA and mB, are connected to each other AND to a central post by thin rods as shown in the figure below. The two blocks revolve around the central post at the same angular frequency (measured in radians per second) on a frictionless horizontal surface at distancesrA and rB, respectively, from the post. If mA = 2.00 kg, mB = 3.00kg, rA = 1.00 m, rB = 1.25 m, and the blocks are (each) rotating at an angular frequency of 12 radians per second, determine the tension in the rod between mA and mB.
Part B - If mA = 2.00 kg, mB = 3.00kg, rA = 1.00 m, rB = 1.25 m, and the blocks are (each) rotating at an angular frequency of 12 radians per second, determine the tension in the rod between mA and the central post.
Explanation / Answer
mA = 2.00 kg, mB = 3.00kg, rA = 1.00 m, rB = 1.25m
w = 12 rad/s
Blocks are rotating in circular path so , the tension in the rod equal to centripetal force.
TA = mArAw^2 = (2*1*12*12) = 288 N
TB = mBrBw^2 = (3*1.25*12*12) = 540 N
Tension in the rod between mA and mB is TB -TA = 540 -288 =252 N
Par B: Tension in the rod between mA and central post is TB+TA =540+288 = 828 N