Answer
418.8k+ views
Hint: The normal force is known as a force of contact. When two surfaces are not in contact with each other, then a normal force cannot be exerted on one another. In order to find the solution of the given question we will first find the components of the forces acting on the man and then solve accordingly.
Formula Used: N = $ma\cos \theta + mg\cos \theta $
Complete answer:
For better understanding of the question let us draw a rough diagram of the given question showing the forces which will be acting on the man standing on the wedge.
As the wedge on which the man is standing is moving in the upward direction then the pseudo force ‘ma’ acting on the man would be in the downward direction. Also, the weight of the man ‘mg’ would also act in the downward direction.
Now, the weight registered by machine would be the normal reaction of the man. Here, normal reaction would be the component of the ‘mg’ and ‘ma’.
It is given that, the mass of the man = 60kg, angle $\theta = {60^ \circ }$
So, according to the given question,
Normal reaction, N = $ma\cos \theta + mg\cos \theta $
$\eqalign{
& \Rightarrow N = 60 \times 2 \times \dfrac{1}{2} + 60 \times 10 \times \dfrac{1}{2} \cr
& \Rightarrow N = 60 + 60 \times 5 \cr
& \Rightarrow N = 60 + 300 \cr
& \therefore N = 360N \cr} $
Thus, the weight registered by the weighing machine is 360N.
Hence, option (A) is the correct answer.
Note:
The Pseudo force is defined as an apparent force which acts on all the masses whose motion is described using a non-inertial frame of reference frame, such as a rotating reference frame. It said to be in effect if the frame of reference starts accelerating as compared to a non-accelerating frame of reference.
Formula Used: N = $ma\cos \theta + mg\cos \theta $
Complete answer:
For better understanding of the question let us draw a rough diagram of the given question showing the forces which will be acting on the man standing on the wedge.
![seo images](https://www.vedantu.com/question-sets/ff88f095-62d3-4e92-a39b-f1894a9f95964945635135420076636.png)
As the wedge on which the man is standing is moving in the upward direction then the pseudo force ‘ma’ acting on the man would be in the downward direction. Also, the weight of the man ‘mg’ would also act in the downward direction.
Now, the weight registered by machine would be the normal reaction of the man. Here, normal reaction would be the component of the ‘mg’ and ‘ma’.
It is given that, the mass of the man = 60kg, angle $\theta = {60^ \circ }$
So, according to the given question,
Normal reaction, N = $ma\cos \theta + mg\cos \theta $
$\eqalign{
& \Rightarrow N = 60 \times 2 \times \dfrac{1}{2} + 60 \times 10 \times \dfrac{1}{2} \cr
& \Rightarrow N = 60 + 60 \times 5 \cr
& \Rightarrow N = 60 + 300 \cr
& \therefore N = 360N \cr} $
Thus, the weight registered by the weighing machine is 360N.
Hence, option (A) is the correct answer.
Note:
The Pseudo force is defined as an apparent force which acts on all the masses whose motion is described using a non-inertial frame of reference frame, such as a rotating reference frame. It said to be in effect if the frame of reference starts accelerating as compared to a non-accelerating frame of reference.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)