Four equal and parallel forces are acting on a rod (as shown in fig.) at distances of $20 \,cm, 40\, cm, 60\, cm$ and $80\, cm$ respectively from one end of the rod under the influence of these forces the rod -
is at rest
experience a torque
experience a linear motion
experience a torque and also linear motion
The force $7\widehat i + 3\widehat j - 5\widehat k$ acts on a particle whose position vector is $\widehat i - \widehat j + \widehat k$ . What is the torque of the given force about the origin ?
A force $\overrightarrow{ F }=(\hat{ i }+2 \hat{ j }+3 \hat{ k }) N$ acts at a point $(4 \hat{ i }+3 \hat{ j }-\hat{ k }) m \cdot$ Then the magnitude of torque about the point $(\hat{i}+2 \hat{j}+\hat{k}) m$ will be $\sqrt{ x } N - m .$ The value of $x$ is$........$
A force of $40\, N$ acts on a point $B$ at the end of an $L-$ shaped object, as shown in the figure. The angle $\theta$ that will produce maximum moment of the force about point $A$ is given by
A wheel of radius $R$ with an axle of radius $R / 2$ is as shown in the figure and is free to rotate about a frictionless axis through its centre and perpendicular to the page. Three forces $(F, F, 2 F)$ are exerted tangentially to the respective rims as shown in the figure.The magnitude of the net torque acting on the system is nearly ............. $FR$
An automobile moves on a road with a speed of $54 \,km h^{-1}.$ The radius of its wheels is $0.45\, m$ and the moment of inertia of the wheel about its axis of rotation is $3\, kg m^2$. If the vehicle is brought to rest in $15\, s,$ the magnitude of average torque transmitted by its brakes to the wheel is .......... $kg \,m^2\, s^{-2}$.