Question

Your friend's 10.8 g graduation tassel hangs on a string from his rearview mirror. When he accelerates from a stoplight, the tassel deflects backward toward the rear of the car at an angle of 5.23 ∘ relative to the vertical.

A) Find the tension in the string holding the tassel.
B) At what angle to the vertical will the tension in the string be twice the weight of the tassel?

Answer 1

To find the tension in the string holding the graduation tassel, use the equations T sin° = m±a and T cos° = mg. To find the angle at which the tension is twice the weight, set T = 2mg and solve for °.

Step-by-step explanation:

To find the tension in the string holding the graduation tassel, we can use the following equations:

T sin° = m±a

T cos° = mg

where T is the tension, m is the mass of the tassel, a is the acceleration, g is the acceleration due to gravity, and ° is the angle of deflection. Plugging in the given values, we can solve for T.

To find the angle at which the tension in the string is twice the weight of the tassel, we can set T = 2mg and solve for °.