Masses of block A, B and C are 10 kg, 2kg and 3kg respectively and they are arranged as shown in the figure. There is a uniform electric field towards right of magnitude 10 N/C and block C has charge 0.5 C. If frictional coefficient between block A and the floor is 0.1, between block C and wall is 0.2 and there is no friction between A and B, then which of the following option(s) is/are correct: (Assuming pulley and string to be ideal)

Q. Three blocks $\text{a, b and c}$ of masses $10kg$, $10kg$ and $20kg$ respectively are arranged as shown in figure. All the surfaces are frictionless and string is inextensible. A constant force $F=20N$ is applied on block $\text{a}$ as shown. Pulley and string are light. Part of the string connecting both pulleys is vertical and part of the strings connecting pulleys with masses a and b are horizontal. Choose the correct option(s) for the given system.

Q.

Two blocks A and B of mass 10 kg and 20 kg respectively are placed as shown in figure. Coefficient of friction between all the surfaces is 0.2 (g = 10 m/s²). Then

Q. Given the set up shown in the figure. Blocks $\text{A, B}$ and $\text{C}$ have masses $m_A=M$ & $m_B=m_C=m$. The strings are assumed massless and unstretchable and the pulley is frictionless. There is no friction between block $\text{B}$ and the support table, but there is friction between blocks $\text{B}$ and $\text{C}$ donated by a given coefficient $\mu$. Find the accelaration of block $\text{A}$.

Q. Given the setup shown in Fig. Block A, B, and C have masses $m_A=M$ and $m_B=m_C=m$. The strings are assumed massless and unstretchable, and the pulleys frictionless. There is no friction between blocks B and the support table, but there is friction between blocks B and C, denoted by a given coefficient $\mu$.
a. In terms of the given, find (i) the acceleration of block A, and (ii) the tension in the string connecting A and B.
b. Suppose the system is related from rest with block C. near the right end of block B as shown in the above figure. If the length L of block B is given, what is the speed of block C as it reaches the lift end of block B? Treat the size of C as small.
c. If the mass of block A is less than some critical value, the blocks will not accelerate when released from rest. Write down an expression for that critical mass.

Q. In the arrangement shown in the figure, masses of the blocks $A$ and $B$ are $\text{m}$ and $2\text{m}$ respectively. Surface between block $B$ and floor is smooth. The block $B$ is connected to the block $C$ by means of a string pulley system. If the whole system is released, then find the minimum value of mass of block $C$ so that block $A$ remains stationary w.r.t. $B$. Coefficient of friction between $A$ and $B$ is $\mu$.