$A V$-shaped rigid body has two identical uniform arms. What must be the angle between the two arms, so that when the body is hung from one end the other arm is horizontal?
$\cos ^{-1}(1 / 3)$
$\cos ^{-1}(1 / 2)$
$\cos ^{-1}(1 / 4)$
$\cos ^{-1}(1 / 6)$
A metal bar $70 \;cm$ long and $4.00 \;kg$ in mass supported on two knife-edges placed $10\; cm$ from each end. A $6.00 \;kg$ load is suspended at $30\; cm$ from one end. Find the reactions at the knifeedges. (Assume the bar to be of uniform cross section and homogeneous.)
A mass $'m'$ is supported by a massless string wound around a uniform hollow cylinder of mass $m$ and radius $R$. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
An $L-$ shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If $AB = BC$, and the angle made by $AB$ with downward vertical is $\theta$ then
A uniform disc with mass $M=4\,kg$ and radius $R=$ $10\,cm$ is mounted on a fixed horizontal axle as shown in figure. A block with mass $m =2\,kg$ hangs from a massless cord that is wrapped around the rim of the disc. During the fall of the block, the cord does not slip and there is no friction at the axle. The tension in the cord is_______ $N$
$\left(\right.$ Take $\left.g =10\,ms ^{-2}\right)$
A horizontal heavy uniform bar of weight $W$ is supported at its ends by two men. At the instant, one of the men lets go off his end of the rod, the other feels the force on his hand changed to