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301. The wheel rolls without slipping. Find the velocity of points F, H, and D u

ID: 1875130 • Letter: 3

Question

301. The wheel rolls without slipping. Find the velocity of points F, H, and D using the instantaneous center of zero velocity approach. The velocity of the wheel equals 2 meters per second. The wheel radius 0.50 m. Notice that this is the same problem as #281 and #291. Compare the angular velocity you calculate in this problem with the angular velocities you calculated in #281 and #291. BASED ON WHAT WEIVE LEARNES AtOUT WHEELS THAT ROLL WITHOUT SLuP WHERE IS THE C? 60° ct- Vo-2 wheel Radius SEE 28( FOR THE 0.50 m ANSW ERS

Explanation / Answer

301) In rolling without slipping,

vF = 2*Vo

= 2*2

= 4 m/s

vH = sqrt(Vo^2 + vo^2 + 2*Vo*Vo*cos(30))

= sqrt(2^2 +2^2 + 2*2*2*cos(30))

= 3.86 m/s

vD = sqrt(2)*vo

= sqrt(2)*2

= 2.83 m/s

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