Two objects A and B,each of mass m,are connec | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the acceleration of the system be $a$ along the ring. Since the string is inextensible,both objects $A$ and $B$ will have the same magnitude o

Vedclass · Accepted Answer

$mg/2$

Vedclass · Answer

(D) Let the acceleration of the system be $a$ along the ring. Since the string is inextensible,both objects $A$ and $B$ will have the same magnitude of acceleration $a$ along the tangent to the ring at their respective positions.For object $A$,the component of tension $T$ along the tangent is $T \cos(45^{\circ}) = T/\sqrt{2}$. Thus,the equation of motion for $A$ is:$T/\sqrt{2} = ma$ ......$(1)$For object $B$,the forces acting along the tangent are gravity $mg$ (acting downwards) and tension $T$ (acting upwards along the string). The component of gravity along the tangent is $mg \cos(45^{\circ}) = mg/\sqrt{2}$. The equation of motion for $B$ is:$mg/\sqrt{2} - T/\sqrt{2} = ma$ ......$(2)$Substituting $ma = T/\sqrt{2}$ from $(1)$ into $(2)$:$mg/\sqrt{2} - T/\sqrt{2} = T/\sqrt{2}$$mg/\sqrt{2} = 2T/\sqrt{2}$$T = mg/2$

Similar Questions

$A$ body of mass $M$ tied to a string is lowered at a constant acceleration of $(g/4)$ through a vertical distance $h$. The work done by the string will be..............

With what minimum acceleration can a fireman slide down a rope if the breaking strength of the rope is $\frac{2}{3}$ of his weight?

Four blocks are connected as shown in the figure on a horizontal frictionless surface. If $m_1 = m_2 = m_3 = m_4 = m$,then the ratio $T_3 / T_4$ will be:

$A$ block $A$ of mass $7 \, kg$ is placed on a frictionless table. $A$ thread tied to it passes over a frictionless pulley and carries a body $B$ of mass $3 \, kg$ at the other end. The acceleration of the system is .......... $m \, s^{-2}$ (given $g = 10 \, m \, s^{-2}$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module