Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Write the relation for length of the ropes in terms of position of the blocks. Differentiate the length of the cables to find the relation between velocities.
Kinematics deals with the geometry of motion. If the relation for a geometric variable like position is known, velocity can be determined by taking the time derivative of position.
V = ds/dt
Here, position of the particle is s
and time is t
The fixed surface is considered as datum and the position of blocks is taken with respect to datum.
Use the relation of length of the cable to find the relation between positions of the blocks.
Find the expression for length of the cable connecting pulleys at point C and point D.
l = sA + 2sC
Differentiate with respect to time.
dl/dt = d/dt (sA + sC)
0 = VA + 2VC
VC = -VA/2
Find the expression for length of the cable connecting pulleys at point C and point D.
l2 = (SB - SC) + SB
= 2SB - SC
Differentiate with respect to time.
dl/dt = d/dt (2sB - sC)
0 = 2VB - VC
0 = 2VB - (-VA/2)
VB = -VA/4
= - 2/4
= - 0.5 m/s
Write the relation for length of the ropes in terms of position of the blocks. Differentiate the length of the cables to find the relation between velocities. Substitute 0 for dl/dt
because the rope is inextensible.
Therefore, the speed of block B is 0.5 m/s
Learn more about velocity here:
https://brainly.com/question/29521859
#SPJ4
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
