Question

Figure below shows a block of mass 35 kg
resting on a table. The table is so rough that
it offers a self adjusting resistive force 10%
of the weight of the block for its sliding
motion along the table. A 20 kg wt load is
attached to the block and is passed over a
pulley to hang freely on the left side. On the
right side there is a 2 kg wt pan attached to
the block and hung freely. Weights of 1 kg
wt each, can be added to the pan. Minimum
how many and maximum how many such
weights can be added into the pan so that
the block does not slide along the table

Answer 1

Answer:

So it requires minimum 15  and maximum 22 such weights that we can add into the pan

Explanation:

As we know that the weight of the block placed on the table is

$W_1 = 35 \times 10$

$W_1 = 350 N$

now the resistive force due to friction is 10% of the weight so we have

$F_f = 350 \times 0.1 = 35 N$

Now weight suspended on the left side is given as

$W_2 = 20 \times 10 = 200 N$

Now in order to make the system at equilibrium we can make force balance equation as

$200 = 35 + W_3$

$200 - 35 = W_3$

$W_3 = 165 N$

so total weight on the right side is 165 N

Now we know that the weight of the pan is 2 kg so extra weight required is

$W_3 = (2 + N)10$

$165 = (2 + N)10$

$N = 14.5$

so for nearest integer we need 15 weights

Now similarly for maximum number we have force balance as

$200 + 35 = W$

$W_3 = 235 N$

So we will have

$W_3 = (2 + N) 10$

$235 = (2 + N)10$

$N = 21.5$

for maximum number of weight we need 22 such masses

#Learn

Topic : Force Balance

https://brainly.in/question/13818929

Answer 2

u.j.j.

Explanation:

Figure below shows a block of mass 35 kg

resting on a table. The table is so rough that

it offers a self adjusting resistive force 10%

of the weight of the block for its sliding

motion along the table. A 20 kg wt load is

attached to the block and is passed over a

pulley to hang freely on the left side. On the

right side there is a 2 kg wt pan attached to

the block and hung freely. Weights of 1 kg

wt each, can be added to the pan. Minimum

how many and maximum how many such

weights can be added into the pan so that

the block does not slide along the table