To understand and apply the formula T = l_alpha to rigid objects rotating about

Question

To understand and apply the formula T = l_alpha to rigid objects rotating about a fixed axis. To find the acceleration a of a particle of mass m, we use Newton's second law: F_net = ma, where F_net is the net force acting on the particle. To find the angular acceleration alpha of a rigid object rotating about a fixed axis, we can use a similar formula: T_net = l alpha, where T_net = sigma T is the net torque acting on the object and I is its moment of inertia. Now consider a similar situation, except that now the swing bar itself has mass m_bar. Find the magnitude of the angular acceleration a of the seesaw. Express your answer in terms of some or all of the quantities m_1, m_2, m_bar, l, as well as the acceleration due to gravity g. In what direction will the seesaw rotate and what will the sign of the angular acceleration be? The rotation is in the clockwise direction and the angular acceleration is positive. The rotation is in the clockwise direction and the angular acceleration is negative. The rotation is in the counterclockwise direction and the angular acceleration is positive. The rotation is in the counterclockwise direction and the angular acceleration is negative.

Explanation / Answer

tau = I*alpha

m2*g *L/2- m1*g *L/2 = {ML^2/12 + m1*(L/2)^2 + m1*(L/2)^2 } * alpha

alpha = [ ( m2-m1) *g] / [ (mbar/ 6 + m1/2 +m2/2)*L]

insecond question we need to know if m2> m1 or m1>m2 then we can answer this question

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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