(frame GG) vertical at \omega_{v}=ωv= 2.9 rad/sec, and at the instant shown the seesaw turns at \omega_{H}=ωH= 2.5 rad/sec relative to the merry-go-around JJ. \left(\hat{i},\hat{j},\hat{k}\right)(i^,j^,k^) are unit vectors fixed in the seesaw board BB. The children are each 5 ft from the fulcrum OO. The girl slides a stone PP along the see-saw board toward the boy. The velocity of the stone relative to the board is -4.4 \hat{j}j^ ft/sec at an instant when the stone is 2.3 ft from the girl and \theta=0 \degθ=0deg. Find the magnitude of the velocity of the stone PP relative to the ground GG, i.e., V_{P/G}VP/G, at this instant.
(frame GG) vertical at \omega_{v}=ωv= 2.9 rad/sec, and at the instant shown the seesaw turns at \omega_{H}=ωH= 2.5 rad/sec relative to the merry-go-around JJ. \left(\hat{i},\hat{j},\hat{k}\right)(i^,j^,k^) are unit vectors fixed in the seesaw board BB. The children are each 5 ft from the fulcrum OO. The girl slides a stone PP along the see-saw board toward the boy. The velocity of the stone relative to the board is -4.4 \hat{j}j^ ft/sec at an instant when the stone is 2.3 ft from the girl and \theta=0 \degθ=0deg. Find the magnitude of the velocity of the stone PP relative to the ground GG, i.e., V_{P/G}VP/G, at this instant.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Two children are playing in the park on a seesaw mounted on a merry-go-round as shown in the figure below. The merry-go-round rotates about the ground-fixed (frame GG) vertical at \omega_{v}=ωv= 2.9 rad/sec, and at the instant shown the seesaw turns at \omega_{H}=ωH= 2.5 rad/sec relative to the merry-go-around JJ. \left(\hat{i},\hat{j},\hat{k}\right)(i^,j^,k^) are unit
Transcribed Image Text:Two children are playing in the park on a seesaw mounted on a merry-go-round as shown in the figure below. The merry-go-round rotates about the ground-fixed (frame G)
vertical at wy =2.9 rad/sec, and at the instant shown the seesaw turns at wH = 2.5 rad/sec relative to the merry-go-around J. (i, j,k ) are unit vectors fixed in the
seesaw board B. The children are each 5 ft from the fulcrum O. The girl slides a stone P along the see-saw board toward the boy. The velocity of the stone relative to the
board is -4.4 j ft/sec at an instant when the stone is 2.3 ft from the girl and 0 = 0 deg. Find the magnitude of the velocity of the stone P relative to the ground G, i.e., Vp/G,
at this instant.
(parallel to
board B)
B
(see-saw
board)
radial line
fixed in. J
J
(merry-go-
round)
G (ground)
Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.
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