(a) Find the acceleration of the objects. (Assume that positive acceleration is

Question

(a) Find the acceleration of the objects. (Assume that positive acceleration is to the right for m1 and downward for m2. Answer using m1, m2, g for the acceleration due to gravity, and ?.)
Find the tension in the string (b) Find the acceleration and tension for ? = 28° and m1 = m2 = 13 kg.

Explanation / Answer

The equation of motion for m1 is m1g sin@ - T = m1 a ........1 For m2 T - m2g = m2 a ......2 From 1 and 2 we can write [ m1g sin@ - T] / m1 = [T-m2g] / m2 ==> m1m2 g sin@ - m2T = m1T - m1 m2 g ==> m1 m2 g [ 1 + sin@] = [m1 +m2] * T ==> T = m1 m2 g [ 1 + sin@] / [m1 +m2] b) T = 13 * 13 * 9.8 [ 1 + sin 28] / 26 = 93.60 N acceleration a = [ 93.60 - 13 * 9.8] / 13 = - 2.599 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.