Common Forces In Mechanics - Practice Questions & MCQ

Two objects resting on a table. Mass of object 1 (m₁) = 1 kg, mass of object 2 (m₂) = 2 kg, Acceleration due to gravity (g) =9.8 m/s². Determine the magnitude and direction of the normal force (R₁) exerted by m₂ on the m₁ and the normal force (R₂) exerted by the table on the m₂.

An Atwood machine has masses 5Kg and 15 Kg as shown. What is the acceleration (in m/s²) at 15 Kg  mass when the system is released from rest 

A body of mass 1 kg lies on a smooth inclined plane. A force F=10m is applied horizontally on the block as shown. The magnitude of normal reaction by the inclined plane on the block is

A spring whose unstretched length is I has a force constant k. The spring is cut into two pieces of unstretched lengths $l_1$ and $l_2$ where $l_1=n l_2$ and n is an integer. The ratio $k_1 / k_2$ of the corresponding force constants, $k_1$ and $k_2$ will be:

A $\sqrt{34} \mathrm{~m}$ long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from the wall as shown in the figure. If $\mathrm{F}_{\mathrm{f}}$ and $\mathrm{F}_{\mathrm{w}}$ are the reaction forces of the floor and the wall, then ratio of $\mathrm{F}_{\mathrm{w}} / \mathrm{F}_{\mathrm{f}}$ will be:

$
\left(\text { Use } g=10 \mathrm{~m} / \mathrm{s}^2 .\right)
$
 

A monkey of mass 50 kg climbs on a rope which can withstand the tension $(\mathrm{T})$ of 350 N . If monkey initially climbs down with an acceleration of $4 \mathrm{~m} / \mathrm{s}^2$ and then climbs up with an acceleration of $5 \mathrm{~m} / \mathrm{s}^2$. Choose the correct option $\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right)$.

A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration $0.2 \mathrm{~m} / \mathrm{s}^2$. The normal reaction $\mathrm{R}^{\prime}$ by the floor if the mass of the iron cylinders is equal and of 20 kg each, is $\qquad$ N. [Take $g=10 \mathrm{~m} / \mathrm{s}^2$ and $\mu_s=0.2$ ]

A block of mass M lies on smooth inclined plane. A force of 15 N is applied horizontally on the block as shown. The magnitude of normal by inclined plane on the block is  , if the block is in equilibrium condition 

A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be:

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