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.

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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