(C) The forces acting on the garden roller in the vertical direction are the normal reaction $N$ (upwards),the weight $mg$ (downwards),and the vertica

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(C) The forces acting on the garden roller in the vertical direction are the normal reaction $N$ (upwards),the weight $mg$ (downwards),and the vertical component of the applied force $F \sin 30^{\circ}$ (downwards).Since the roller is in equilibrium in the vertical direction,the net force is zero:$N - mg - F \sin 30^{\circ} = 0$$N = mg + F \sin 30^{\circ}$Given $m = 70\,kg$,$g = 10\,m s^{-2}$,$F = 200\,N$,and $\sin 30^{\circ} = 0.5$:$N = (70 \times 10) + (200 \times \sin 30^{\circ})$$N = 700 + (200 \times 0.5)$$N = 700 + 100$$N = 800\,N$

Class 11 Physics Newton's Laws of Motion and Friction The Common Forces and Equilibrium of Concurrent Forces

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As shown in the figure,a $70\,kg$ garden roller is pushed with a force of $\overrightarrow{F} = 200\,N$ at an angle of $30^{\circ}$ with the horizontal. The normal reaction on the roller is $.......\,N$ (Given $g = 10\,m s^{-2}$)

JEE MAIN 2023 All JEE MAIN

A
$800 \sqrt{2}$
B
$600$
C
$800$
D
$200 \sqrt{3}$

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Class 11

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Newton's Laws of Motion and Friction

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The Common Forces and Equilibrium of Concurrent Forces

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As shown in the figure,a $70\,kg$ garden roller is pushed with a force of $\overrightarrow{F} = 200\,N$ at an angle of $30^{\circ}$ with the horizontal. The normal reaction on the roller is $.......\,N$ (Given $g = 10\,m s^{-2}$)

Similar Questions

Why are the states of a body at rest and a body moving with constant velocity considered equivalent in terms of net force?

Two equal heavy spheres,each of radius $r$,are in equilibrium within a smooth cup of radius $3r$. The ratio of the reaction between the cup and one sphere to that between the two spheres is:

$A$ block of weight $W$ is supported by three strings as shown in the figure. Which of the following relations is true for the tension in the strings? (Here $T_1, T_2,$ and $T_3$ are the tensions in strings $A, B,$ and $C$ respectively.)

Two like parallel forces $20 \,N$ and $30 \,N$ act at the ends $A$ and $B$ of a rod $1.5 \,m$ long. The resultant of the forces will act at the point ........

$A$ body is in equilibrium under the action of three coplanar forces $P, Q$ and $R$ as shown in the figure. Select the correct statement.

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