Question

HW 9 Begin Date: 11/3/2017 12:0000 AM- Due Date: 11/10/2017 11:59.00 PM End Date: 11/10/2017 11:59.00 PM pillars located L/3 from either end, as shown in the figure. A duck of mass m stands on one end. A scale is placed under each pillar. The entire system is in equilibrium. L/3 L/3 d view Otheex Partial 33% Part (a) Enter an expression, in terms of defined quantities and g, for the force that the scale under right pillar Grade Summary Potential 100% Co per attempt) mp Hint I give up Feedback: 0 deduction per feedback Part (b) Enter an expression, in terms of defined quantities and g, for the force that the scale under left pillar shows Part (c) Enter an expression, in terms of defined quantities and g. for the sum or the scale readings

Answer 1

using equilibrium of torque about C

m_D g (AC) + m_B g (OC) = F_L (BC)

m_D g (2L/3) + m_B g (L/6) = F_L (L/3)

F_L = 2m_D g + (0.5) m_B g

using equilibrium of force

F_L + F_R = m_Dg + m_Bg

2m_D g + (0.5) m_B g  + F_R = m_Dg + m_Bg

F_R = - (0.5) m_B g - m_Dg