JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
Consider a cylinder of mass \(M\) resting on a rough horizontal rug that is pulled out from under it with acceleration \('a'\) perpendicular to the axis of the cylinder. What is \(F_{friction}\) at point \(P\) ? It is assumed that the cylinder does not slip

- A \(Mg\)
- B \(Ma\)
- C \(\frac{Ma}{2}\)
- D \(\frac{Ma}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{Ma}{3}\)
Step-by-step Solution
Detailed explanation
For pure, rolling,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The internal energy \((U),\) pressure \((P)\) and volume \(( V )\) of an ideal gas are related as \(U =\) \(3 P V+4\). The gas is :-JEE Mains 2021 Hard
- Two ideal polyatomic gases at temperatures \(T _{1}\) and \(T _{2}\) are mixed so that there is no loss of energy. If \(F _{1}\) and \(F _{2}, m _{1}\) and \(m _{2}, n _{1}\) and \(n _{2}\) be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases isJEE Mains 2021 Hard
- A plano convex lens of refractive index \({\mu _1}\) and focal length \(f_1\) is kept in contact with another plano concave lens of refractive index \({\mu _2}\) and focal length \(f_2\). If the radius of curvature of their spherical faces is \(R\) each and \(f_1 = 2f_2\), then \({\mu _1}\) and \({\mu _2}\) are related asJEE Mains 2019 Hard
- Two identical blocks \(A\) and \(B\) each of mass \(m\) resting on the smooth horizontal floor are connected by a light spring of natural length \(L\) and spring constant \(K\). A third block \(C\) of mass \(m\) moving with a speed \(v\) along the line joining \(A\) and \(B\) collides with \(A\).The maximum compression in the spring is
JEE Mains 2021 Hard - Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V, its capacitance is : (in pF)JEE Mains 2025 Medium
- Given below are two statements : \(Statement\) \(I\) : Most of the mass of the atom and all its positive charge are concentrated in a tiny nucleus and the electrons revolve around it, is Rutherford's model. \(Statement\) \(II\) : An atom is a spherical cloud of positive charges with electrons embedded in it, is a special case of Rutherford's model. In the light of the above statements, choose the most appropriate from the options given below.JEE Mains 2024 Hard
More PYQs from JEE Mains
- In a triangle \(A B C\), if \(\cos A+2 \cos B+\cos C=2\) and the lengths of the sides opposite to the angles \(A\) and \(C\) are \(3\) and \(7\) respectively, then \(\cos A-\cos\) \(C\) is equal toJEE Mains 2023 Hard
- Let \( A=\{2,3,5,7,9\} \). Let R be the relation on A defined by \(x\) Ry if and only if \( 2x\le3y \). Let \(l\) be the number of elements in R, and m be the minimum number of elements required to be added in R to make it a symmetric relation. Then \( l+m \) is equal to :JEE Mains 2026 Easy
- Let \(f(x)=\lim _{\theta \rightarrow 0}\left(\frac{\cos \pi x-x^{\left(\frac{2}{\theta}\right)} \sin (x-1)}{1+x^{\left(\frac{2}{\theta}\right)}(x-1)}\right), x \in R\).
Consider the following two statements :
(I) \(f ( x )\) is discontinous at \(x =1\).
(II) \(f ( x )\) is continous at \(x =-1\). Then,JEE Mains 2026 Easy - If \(\lim _{x \rightarrow \infty}\left(\left(\frac{\mathrm{e}}{1-\mathrm{e}}\right)\left(\frac{1}{\mathrm{e}}-\frac{x}{1+x}\right)\right)^x=\alpha\), then the value of \(\frac{\log _{\mathrm{e}} \alpha}{1+\log _{\mathrm{e}} \alpha}\) equals :JEE Mains 2025 Medium
- Let \(A B C\) be a triangle formed by the lines \(7 x-6 y+3=0, x+2 y-31=0\) and \(9 x-2 y-19=0\). Let the point \((h, k)\) be the image of the centroid of \(\Delta A B C\) in the line \(3 x+6 y-53=0\). Then \(h^2+k^2+h k\) is equal to:JEE Mains 2025 Easy
- If \(\alpha\) and \(\beta\) are the roots of the equation \(2 x (2 x +1)=1,\) then \(\beta\) is equal toJEE Mains 2020 Medium