1. Tardigrade
  2. Question
  3. Physics
  4. A right triangular plate ABC of mass m is free to rotate in the vertical plane about a fixed horizontal axis through A . It is supported by a string such that the side AB is horizontal. The reaction at the support A is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-p0xawsfyvszp.png />

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A right triangular plate $ABC$ of mass $m$ is free to rotate in the vertical plane about a fixed horizontal axis through $A$ . It is supported by a string such that the side $AB$ is horizontal. The reaction at the support $A$ is

Question

NTA AbhyasNTA Abhyas 2020System of Particles and Rotational Motion

Solution:

For equilibrium of torque about A,
$\left(m \text{g}\right)\frac{l}{3}=T\left(l\right)\text{or}T=\frac{m \text{g}}{3}$
For verticle equilibrium of plate,
$R_{\text{A}}+T=m\text{g}\therefore \text{R}_{\text{A}}=\frac{2 m \text{g}}{3}$