In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty…

Question

In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

MARKS Content Team · Accepted Answer

Correct answer: (B) Left arm is shorter than the right arm. Let m_1 and m_2 be the masses of pan It is given that m_1=m_2 Since balance is achieved, so net torque about O should be zero. 5 mg+m_1 g r_1 = m_2 g r_2 ⇒5mg+m_1gr_1=m_1gr_2 ⇒r_1r_2=m_1g/(m_1g+5mg) ⇒r_1r_2<1 So, left arm is shorter than the right arm.

In a physical balance working on the principle of moments, when $5 mg$ weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

Solution

Relevant Questions