Question

Block C is moving up at the constant speed of 6 in/s. Given that the elevations of blocks A and B are always equal, determine the velocity of B.

Answer 1

Answer:

4 in/s

hope this answer may help you

Explanation:

Answer 2

Answer:

The velocity of B is 4in/s.

Figure is not given in the question no problem i will drop it.

Explanation:

• when block C moves up, its makes an change in length of the rope, as shown in below figure.
• By that cause, rope length of both block A & B changes.
• lets, take 'x' be the change in length of rope for both  blocks A&B
• C = A+B ( in terms of length, the change in C = both A and B)
• by using basic formula , we can find the change in length of rope of block C,

                        distance = velocity x time

       for C, we know v & t,

               distance = 6 x 1 (seconds)

                             = 6.

• for B, we know it is free at both ends therefore rope displaced twice  it is '2X'.
• for A, we know it is fixed at one end and it can displace once, therefore it is 'X'.
• lets find value of X, change in length of C = change in A&B,

                             C = A + B

                             6 = X + 2X

                            3X= 6

                              X=2.

• now, we know the value of X = 2, lets find the velocity of block B,

                    distance = velocity x time

                          2X = velocity x 1 (we have to calculate per second )

                         2(2) = velocity

                   velocity = 4in/s.

Hence he velocity of block B is 4in/s.