Circular motion related to linear motion

[songoku]

Homework Statement

As block B moves upward with constant speed 2 m/s, pin A glides through the semicircular slot. At the position shown, determine the velocity of A.

a. 2.31, angle 60^o
b. 2.00, angle 60^o
c. 1.00, angle 0^o
d. 1.89, angle 30^o

Homework Equations

Not sure

The Attempt at a Solution

A and B will have the same speed, so the answer is b (the angle is 60^o to the horizontal) ?

Thanks

 

[Vykan12]

The velocity vector of A is going to be tangent to the circle, so its angle relative to the horizontal will be 60 degrees (you can check this with some simple geometry). We also know that the vertical compontent of this vector is 2 since it is given by object B. By pythagoras the magnitude of the vector must be greater than 2. Therefore, the answer must be (a).

 

[songoku]

Hi Vykan12

Oh I get it. Thanks a lot Vykan12