The figure shows particles 1 and 2, each of mass m , attached to the ends of a r

Question

The figure shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length L1 + L2, with L1 = 2.0 m and L2 = 5.0 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of (a) particle 1 and (b) particle 2?

The figure shows particles 1 and 2, each of mass m, attached to the ends of a rigid massless rod of length L1 + L2, with L1 = 2.0 m and L2 = 5.0 m. The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of (a) particle 1 and (b) particle 2?

Explanation / Answer

Sum torques and set equal to I* where I = m*L_2^2 + m*L_1^2

Let CW be positive rotation

so m*g*L_2 -m*g*L_1 = ( m*L_2^2 + m*L_1^2 )*

dividing m out leaves

g*(L_2 -L_1) =( L_2^2 + L_1^2)*

so = (g*(L_2 -L_1))/( L_2^2 + L_1^2) =

So a1 = L_1* =

and a2 = L_2* =

now put your values and check

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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