Q8. As shown in the image below, objects A and B connected by a rope with fixed length of 7 ft. For absolute dependent motion analysis, the datum line and the position variables for A and B, SA and SB, are also provided. Assume the rope never has any slack, determine the velocity of object B when the velocity of object A is VA = 4.4 ft/s at SA = 4.5 ft. In your answer, negative sign must be included if the motion of B is opposite to the direction of its given position variable. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. B 3 ft A B SB 3 ft Datum I SA
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![Q8. As shown in the image below, objects A and B connected by a rope with fixed length of 7 ft. For absolute dependent motion
analysis, the datum line and the position variables for A and B, SA and SB, are also provided. Assume the rope never has any slack,
determine the velocity of object B when the velocity of object A is VÀ = 4.4 ft/s at sà = 4.5 ft. In your answer, negative sign must be
included if the motion of Bis opposite to the direction of its given position variable. Please pay attention: the numbers may change
since they are randomized. Your answer must include 2 places after the decimal point, and proper unit.
B
Answer:
3 ft
A
B
SB
3 ft
Datum
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2Ff39d9db5-61c4-4c4f-89ea-ab331d5d5580%2Fvho2u1_processed.jpeg&w=3840&q=75)
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