Racing disks. Figure 10-48 shows two disks that can rotate about their centers l

Question

Racing disks. Figure 10-48 shows two disks that can rotate about their centers like a merry-go-round. At time t = 0, the reference lines of the two disks have the same orientation. Disk A is already rotating, with a constant angular velocity ?A. Disk B has been stationary but now begins to rotate at a constant angular acceleration aB. What is the first time t after t = 0 that the reference lines of the two disks momentarily have the same angular displacement? State your answers in terms of the given variables. Please just use text for the figure 10-48 but answer the above question.

Explanation / Answer

let after time t both the disc have same angular displacement

for costant angular speed

=*t

for constant angular acceleration

=.5*aB*t2

since both have same angular displacement

A*t=.5*aB*t2

t=2A/aB

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