Question:
As shown in figure, a $70 kg$ garden roller is pushed with a force of $\vec{F}=200 N$ at an angle of $30^{\circ}$ with horizontal. The normal reaction on the roller is (Given $g=10 m s ^{-2}$ )
As shown in figure, a $70 kg$ garden roller is pushed with a force of $\vec{F}=200 N$ at an angle of $30^{\circ}$ with horizontal. The normal reaction on the roller is (Given $g=10 m s ^{-2}$ )
Show Hint
The normal reaction is the force exerted by a surface perpendicular to the object. In problems involving inclined planes or angles, use the component of the applied force in the direction of the normal to calculate the total normal reaction.
Updated On: Mar 31, 2026
- $800 N$
- $600 N$
- $200 \sqrt{3} N$
- $800 \sqrt{2} N$
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The normal reaction \( N \) is given by the formula:
\[ N = mg + F \sin 30^\circ \]
where:- \( m = 70 \, \text{kg} \),
- \( g = 10 \, \text{m/s}^2 \),
- \( F = 200 \, \text{N} \).
\[ N = 700 + 200 \times \sin 30^\circ = 700 + 200 \times \frac{1}{2} = 700 + 100 = 800 \, \text{N} \]
Thus, the normal reaction is 800 N.
Was this answer helpful?
5
3
Top JEE Main Physics Questions
- When 300 J of heat is given to an ideal gas with \( C_p = \frac{7}{2}R \), its temperature rises from 20°C to 50°C keeping its volume constant. The mass of the gas is (approximately) ______ g. (R = 8.314 J/mol K)
- JEE Main - 2026
- Physics
- Thermodynamics
The figure shows a pipe with cross-section area 10 \( cm^2 \). Water flows from one end with velocity 20 cm/s. The other end of the pipe is closed and consists of 10 holes each of area 30 \( mm^2 \). Find the velocity of water coming out from each hole:
- JEE Main - 2026
- Physics
- thermal properties of matter
Which of the following best represents the temperature versus heat supplied graph for water, in the range of \(-20^\circ\text{C}\) to \(120^\circ\text{C}\)?
- JEE Main - 2026
- Physics
- Thermodynamics
- An unpolarised light is incident at an interface of two dielectric media having refractive indices of $2$ (incident medium) and $2\sqrt{3}$ (refracted medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ___.
- JEE Main - 2026
- Physics
- Polarisation
- An inductor of inductance $10 \text{ mH}$ having resistance of $100 \text{ } \Omega$ is connected to battery of E.M.F. $1.0 \text{ V}$ through a switch as shown in the figure below. After switch is closed, the ratio of instantaneous voltages across the inductor when the current passing through it is $2 \text{ mA}$ and $4 \text{ mA}$ is ________.
- JEE Main - 2026
- Physics
- Inductance
View More Questions
Top JEE Main Forces Questions
- A force $ 6 \hat{k} $ is applied for $ \frac{5}{3} $ seconds on a body of mass 2 kg. If the initial velocity of the body was $ 3\hat{i} + 4\hat{j} $, then find the final velocity of the body.
- Potential energy is not defined for which of the following forces?
- A balloon and its content having mass \( M \) is moving up with an acceleration \( a \). The mass that must be released from the content so that the balloon starts moving up with an acceleration \( 3a \) will be:
- Force F depends on distance \(x\) and time \(t\) as \(F = ax^ 2 + bt\;\frac{1}{2}\) . Final dimension of \(\frac{b^2}{a}\) is
- Two forces \(F_1\) and \(F_2\) are applied on two rods \(P\) and \(Q\) of same materials such that elongation in rods are same. If ratio of their radii is \(x : y\) and ratio of length is \(m : n\), then ratio of \(F_1 : F_2\) is
View More Questions
Top JEE Main Questions
- When 300 J of heat is given to an ideal gas with \( C_p = \frac{7}{2}R \), its temperature rises from 20°C to 50°C keeping its volume constant. The mass of the gas is (approximately) ______ g. (R = 8.314 J/mol K)
- JEE Main - 2026
- Thermodynamics
The figure shows a pipe with cross-section area 10 \( cm^2 \). Water flows from one end with velocity 20 cm/s. The other end of the pipe is closed and consists of 10 holes each of area 30 \( mm^2 \). Find the velocity of water coming out from each hole:
- JEE Main - 2026
- thermal properties of matter
Which of the following best represents the temperature versus heat supplied graph for water, in the range of \(-20^\circ\text{C}\) to \(120^\circ\text{C}\)?
- JEE Main - 2026
- Thermodynamics
- 19.5 g of fluoro acetic acid (molar mass = 78 g mol\(^{-1}\)) is dissolved in 500 g of water at 298 K. The depression in the freezing point of water was \(1^\circ C\). What is \(K_a\) of fluoro acetic acid? (For water, \(K_f = 1.86\, K\,kg\,mol^{-1}\)). Assume molarity and molality to have same values.
- JEE Main - 2026
- Raoult's Law and Colligative Properties
- A monoatomic anion (A⁻) has 45 neutrons and 36 electrons. Atomic mass, group in the periodic table and physical state at room temperature of the element (A) respectively are
- JEE Main - 2026
- Periodicity of Elements
View More Questions
Concepts Used:
Types of Forces
Different types of forces that are found in nature can be broadly categorized into two types:
- Contact Force
- Action-at-a-distance Force
Contact Force
Contact Forces can further be divided into the following types:
- Applied Force: It is the force that one object exerts on the other object directly. For example, pushing a door, hitting a ball with a hockey stick, opening a drawer, etc.
- Frictional Force: Frictional Force is a type of Contact Force that opposes the movement of an object on a surface. In other words, it is a resisting force. For example, a ball rolling on a floor slows down and eventually stops, applying brakes to stop a vehicle, writing on a notebook, etc. Frictional Force is of two types: Static Friction and Dynamic Friction.
- Air Resistance Force: Just like a surface opposes the movement of an object, the air opposes the objects moving through it. This type of force is called the Air Resistance Force. The strength of the Air Resistance Force depends on the speed and the surface area of the object. Examples of Air Resistance Force are a person who is skydiving slows down because of the parachute, riding a bicycle, walking in a storm, etc.
- Tension Force: Tension is a type of pulling force that is transmitted through a string, cable, etc. It acts along the string and exerts equal pressure at both ends. For example, drawing a bucket of water from a well, playing tug of war, weighing using a spring balance, etc.
- Spring Force: Spring Force is exerted by a spring and it comes into play when a spring is stretched or compressed. Some examples that involve Spring Force are trampoline, shock absorbers in vehicles, spring balance, etc.
Action-at-a-Distance Force
Action-at-a-Distance Force is exerted without the objects being in contact. The various types of Action-at-a-Distance Force are as follows:
- Gravitational Force: Gravitational Force is a universal force. It is a type of attractive force that explains the tendency of objects to fall towards the Earth. Gravitational Force is responsible for attracting any two objects with mass. Examples of the Gravitational Force are objects falling back on the Earth when thrown in the air, the working of our solar system is the result of the Sun’s gravitational force on other planets, etc.
- Magnetic Force: Magnetic Force is the force of attraction or the force of repulsion that is exerted by the electrically charged particles due to their motion. Examples of Magnetic Force are motors, compasses, train tracks, etc.
- Strong Nuclear Force: Strong Nuclear Force is responsible for the integrity of the atomic nucleus. It is exerted over very short distances.
- Weak Nuclear Force: Weak Nuclear Force comes into play during atomic decay. Its range is even shorter than that of the Strong Nuclear Force.
- Electrical Force: Electrical Force is the force of attraction or repulsion exerted between electrically charged particles. It is different from Magnetic Force as the charges are at rest in this case. Examples of Electrical Force are the charge in a bulb, electrical circuits, the attraction between two balloons when one of them is rubbed with hair, etc.