# A particle is subjected to forces $\mathbf{P}=2 \mathbf{i}-5 \mathbf{j}+6 \mathbf{k}$ and $\mathbf{Q}=-\mathbf{i}+2 \mathbf{j}-\mathbf{k} .$ The positional vectors are $\overrightarrow{O A}=4 \mathbf{i}-3 \mathbf{j}-2 \mathbf{k}$ and $\overrightarrow{O B}=6 \mathbf{i}+\mathbf{j}-3 \mathbf{k}$. Work done by the resultant force $(\mathbf{F}=\mathbf{P}+\mathbf{Q})$ to move the particle from $\mathrm{A}$ to $\mathrm{B}$ is (A) 2 (B) -5 (C) 12 (D) -15

## Question ID - 156517 :- A particle is subjected to forces $\mathbf{P}=2 \mathbf{i}-5 \mathbf{j}+6 \mathbf{k}$ and $\mathbf{Q}=-\mathbf{i}+2 \mathbf{j}-\mathbf{k} .$ The positional vectors are $\overrightarrow{O A}=4 \mathbf{i}-3 \mathbf{j}-2 \mathbf{k}$ and $\overrightarrow{O B}=6 \mathbf{i}+\mathbf{j}-3 \mathbf{k}$. Work done by the resultant force $(\mathbf{F}=\mathbf{P}+\mathbf{Q})$ to move the particle from $\mathrm{A}$ to $\mathrm{B}$ is (A) 2 (B) -5 (C) 12 (D) -15

3537

(D) -15

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A two-wheel drive tractor weighing $18 \mathrm{kN}$ has a wheel base $1.8 \mathrm{~m}$. Its centre of gravity is located $600 \mathrm{~mm}$ ahead of the rear axle centre, under static condition, on a level ground. When this tractor is used to pull a disc plough hitched at a height of $390 \mathrm{~mm}$ from the ground, the draft observed is $6 \mathrm{kN}$. The change in reaction on rear wheels of the tractor due to pull in $\mathrm{kN}$ is
(A) 1.30
(B) 1.95
(C) 3.90
(D) 5.85