143582 The position vector of a particle is \(\mathbf{r}=(\alpha \cos \omega t) \hat{\mathbf{i}}+(\alpha \sin \omega t) \hat{\mathbf{j}}\). The velocity vector of the particle is

143583 If a vector \(A\) having a magnitude of 8 is added to a vector \(B\) which lies along \(x\)-axis, then the resultant of two vectors lies along \(y\)-axis and has magnitude twice that of \(B\). The magnitude of \(B\) is

143584 It two forces each of \(2 \mathrm{~N}\) are inclined at \(60^{\circ}\), then resultant force is:

143586 Calculate the work done when a force \(\overrightarrow{\mathbf{F}}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{5} \hat{\mathbf{k}}\) units acts on a body producing a displacement \(\vec{s}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{3} \hat{\mathbf{k}}\) units :

143587 Three forces acting on a body are shown in the figure. To have the resultant force only along the \(y\)-direction, the magnitude of the minimum additional force needed along \(O X\) is

143582 The position vector of a particle is \(\mathbf{r}=(\alpha \cos \omega t) \hat{\mathbf{i}}+(\alpha \sin \omega t) \hat{\mathbf{j}}\). The velocity vector of the particle is

143583 If a vector \(A\) having a magnitude of 8 is added to a vector \(B\) which lies along \(x\)-axis, then the resultant of two vectors lies along \(y\)-axis and has magnitude twice that of \(B\). The magnitude of \(B\) is

143584 It two forces each of \(2 \mathrm{~N}\) are inclined at \(60^{\circ}\), then resultant force is:

143586 Calculate the work done when a force \(\overrightarrow{\mathbf{F}}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{5} \hat{\mathbf{k}}\) units acts on a body producing a displacement \(\vec{s}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{3} \hat{\mathbf{k}}\) units :

143587 Three forces acting on a body are shown in the figure. To have the resultant force only along the \(y\)-direction, the magnitude of the minimum additional force needed along \(O X\) is

143582 The position vector of a particle is \(\mathbf{r}=(\alpha \cos \omega t) \hat{\mathbf{i}}+(\alpha \sin \omega t) \hat{\mathbf{j}}\). The velocity vector of the particle is

143583 If a vector \(A\) having a magnitude of 8 is added to a vector \(B\) which lies along \(x\)-axis, then the resultant of two vectors lies along \(y\)-axis and has magnitude twice that of \(B\). The magnitude of \(B\) is

143584 It two forces each of \(2 \mathrm{~N}\) are inclined at \(60^{\circ}\), then resultant force is:

143586 Calculate the work done when a force \(\overrightarrow{\mathbf{F}}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{5} \hat{\mathbf{k}}\) units acts on a body producing a displacement \(\vec{s}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{3} \hat{\mathbf{k}}\) units :

143587 Three forces acting on a body are shown in the figure. To have the resultant force only along the \(y\)-direction, the magnitude of the minimum additional force needed along \(O X\) is

143582 The position vector of a particle is \(\mathbf{r}=(\alpha \cos \omega t) \hat{\mathbf{i}}+(\alpha \sin \omega t) \hat{\mathbf{j}}\). The velocity vector of the particle is

143583 If a vector \(A\) having a magnitude of 8 is added to a vector \(B\) which lies along \(x\)-axis, then the resultant of two vectors lies along \(y\)-axis and has magnitude twice that of \(B\). The magnitude of \(B\) is

143584 It two forces each of \(2 \mathrm{~N}\) are inclined at \(60^{\circ}\), then resultant force is:

143586 Calculate the work done when a force \(\overrightarrow{\mathbf{F}}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{5} \hat{\mathbf{k}}\) units acts on a body producing a displacement \(\vec{s}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{3} \hat{\mathbf{k}}\) units :

143587 Three forces acting on a body are shown in the figure. To have the resultant force only along the \(y\)-direction, the magnitude of the minimum additional force needed along \(O X\) is

143582 The position vector of a particle is \(\mathbf{r}=(\alpha \cos \omega t) \hat{\mathbf{i}}+(\alpha \sin \omega t) \hat{\mathbf{j}}\). The velocity vector of the particle is

143583 If a vector \(A\) having a magnitude of 8 is added to a vector \(B\) which lies along \(x\)-axis, then the resultant of two vectors lies along \(y\)-axis and has magnitude twice that of \(B\). The magnitude of \(B\) is

143584 It two forces each of \(2 \mathrm{~N}\) are inclined at \(60^{\circ}\), then resultant force is:

143586 Calculate the work done when a force \(\overrightarrow{\mathbf{F}}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{5} \hat{\mathbf{k}}\) units acts on a body producing a displacement \(\vec{s}=\mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}+\mathbf{3} \hat{\mathbf{k}}\) units :

143587 Three forces acting on a body are shown in the figure. To have the resultant force only along the \(y\)-direction, the magnitude of the minimum additional force needed along \(O X\) is