the weight of the block on the table is 402 N and that of the hanging block is 210 N. Ignore all frictional effects, and assuming the pulley to be massless, Find the acceleration of the two blocks

To find the acceleration of the two blocks, you can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and its acceleration. In this case, we can consider the system of the two blocks as one object.

Let's assign some variables to the given information:
- Weight of the block on the table (m1): 402 N
- Weight of the hanging block (m2): 210 N

The next step is to calculate the net force acting on the system. Since there is no friction and the pulley is assumed to be massless, the only force acting on the system is the force due to the weight difference between the two blocks.

The net force (Fnet) can be calculated as follows:
Fnet = m1g - m2g

Where:
- g is the acceleration due to gravity (approximately 9.8 m/s^2)

Now, we can find the acceleration (a) using Newton's second law:
Fnet = m*a

Combining the equations:
m1g - m2g = m*a

Substituting the given weights in terms of masses:
(m1/m)*g - (m2/m)*g = a

Simplifying the equation:
a = g*(m1 - m2) / m

Substituting the given values:
a = 9.8 * (402 - 210) / m

To find the value of m, we need more information about the system or the two blocks, such as their masses, or the lengths of the strings. If you have that information, you can substitute it into the equation to find the acceleration of the two blocks.