A force of -F k cap acts on origint of the coordinate system. The torque about the point (1, -1) is

a) -F(i cap + j cap)

b) F(i+j)

c) -F(i-j)

d)F(i-j)

Question

A force of -F k cap acts on origint of the coordinate system The
torque about the point (1, -1) is
a) -F(i cap + j cap)
b) F(i+j)
c) -F(i-j)
d)F(i-j)

Hansraj Rai · Accepted Answer

Dear Student!!

According to the problem,

Force $F \hat{k}$ acts downward perpendicular to the X-Y plane in negative z direction.

$\vec{r} = \hat{i} - \hat{j} \vec{F} = F \hat{k} \vec{τ} = \vec{r} \times \vec{F} = [\begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ 1 & - 1 & 0 \\ 0 & 0 & F \end{matrix}] \vec{τ} = - F (\hat{i} + \hat{j})$

Answer is (a).

A force of -F k cap acts on origint of the coordinate system. The torque about the point (1, -1) is a) -F(i cap + j cap) b) F(i+j) c) -F(i-j) d)F(i-j)

A force of -F k cap acts on origint of the coordinate system. The torque about the point (1, -1) is

a) -F(i cap + j cap)

b) F(i+j)

c) -F(i-j)

d)F(i-j)