**Learning Goal:**To understand and apply the formula τ = Iα 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** = m**a**, where **F** is the net force acting on the particle.To find the angular acceleration α of a rigid object rotating about a fixed axis, we can use a similar formula: τ = Iα, where τ is the net torque acting on the object and I is its moment of inertia.In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these situations, two objects of masses m₁ and m₂ are attached to a seesaw. The seesaw is made of a bar that has length L and is pivoted so that it is free to rotate in the vertical plane without friction.You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m₂ > m₁, and that counterclockwise is considered the positive rotational direction.**Part A:**The seesaw is pivoted in the middle, and the mass of the swing bar is negligible.*(Figure 1)*Find the angular acceleration α of the seesaw.Express your answer in terms of some or all of the quantities m₁, m₂, L as well as the acceleration due to gravity g.[View Available Hint(s)]α = **Part B:**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.**Part C:** (Complete previous part(s))**Part D:**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.**Part

Torque of a force is given by : ζ = F x r We will balance the torque of both forces along the center of balance. ζ1 = m1g x L2 in anti clockwise direction ζ2 = m2g x L2 in clockwise direction Net torque ζ=ζ1+ζ2 = m1g x L2- m2g x L2 =m1-m2gL2 in anti clockwise direction Now m1 >m2 and counter clockwise is considered positive direction. The net torque will be in anticlockwise direction. Net acceleration will be positive. Motion will be anti clockwise.ζ=Iα =m1-m2gL2 α=m1-m2gL2I Seesaw will rotate in counter clockwise direction. and angular acceleration is positive.

Science

Physics

21 Learning Goal: To understand and apply the formula = la to rigid objects rotating about a foxed axis. • Part A To find the acceleration a of a particle of mass m, we use Newton's second lawr. Fant = må, where Fart is the net force acting on the particie. The seesaw is pivoted in the middle, and the mass of the swing bar is negligible. To find the angular acceleration a of a rigid object rotating about a foxed axis, we can use a similar formula: Tet la, where Tat ris the net torgue acting on the object and I is its moment of inertia. (Elouce 1) Find the angular acceleration a of the seesaw. Express your answer in terms of some or all of the quantities m. mg. 4 as well as the acceleration due to gravity g In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these situations, two objects of masses m, and mg are attached to a seesaw. The seesaw is made of a bar that has length land is pivoted so that it is free to rotate in the vertical plane without triction. View Available Hint(s) You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m, > m, and that counterclockwise is considered the positive rotational direction. ΑΣφ Submit Part B In what direction will the seesaw rotate, and what will the sign of the angular acceleration be? O The rotation is in the clockwise direction and the angular acceleration is positive. O The rotation is in the clockwise direction and the angular acceleration is negative. O The rotation is in the counterclockwise direction and the angular acceleration is positive O The rotation is in the counterclockwise direction and the angular acceleration is negative. Submit Beauest Answer Part C Complete previous part(s) • Part D In what direction will the seesaw rotate and what will the sign of the angular acceleration be? O The rotation is in the clockwise direction and the angular acceleration is positive. igure < 1 of 1 > O The rotation is in the clockwise direction and the angular acceleration is negative. O The rotation is in the counterclockwise direction and the angular acceleration is positive. O The rotation is in the countercliockwise direction and the angular acceleration is negative. Submit Beauest Answtr Part E Complete previous part(s) Part F Complete previous part(s)