You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Engineering Mechanics

Introduction to Dry Friction

A block R of ...

Question

A block R of mass 100 kg is placed on a block S of mass 150 kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ. If the coefficient of static friction for all surfaces is 0.4, the minimum of force F(in kN) needed to move the block S is

0.69

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.88

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.98

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1.37

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 1.37
Free body diagram of block R and S.

Free body diagram of block R and S.
$F \geq μ N_{1} + μ N_{2}$

$F \geq μ (N_{1} + N_{2})$

$F \geq μ (W_{R} + W_{R} + W_{S})$

$F \geq 0.4 (100 + 100 + 150) \times 9.81$

$F \geq 1373.4 N$

$F \geq 1.37 k N$

Suggest Corrections

Similar questions

Q. Mass of block A is

100 kg

and that of block B is

200 kg

. As shown in figure, the block A is attached to a string tied to the wall. The coefficient of static friction between blocks A and B is

(μ_{s})_{A} = 0.2

and the coefficient of static friction between block B and floor is

(μ_{s})_{B} = 0.3

. Then calculate the minimum value of force

F

required to move the block B.

(g = 10 {m/s}^{2})

Q. Two block A and B placed on a plane surface as shown in the figure. The mass of block A is 100 kg and that of block B is 200 kg. Block A is tied to a stand and block B is pulled by a force F. If the coefficient of friction between the surfaces of A and B is 0.2 and the coefficient of friction between B and the plane is 0.3. then for the motion of B the minimum value of F will be:

Q. On a table, three blocks (including the first block) are placed as shown in figure. Mass of each block is

m

and coefficient of friction for each block is

μ

. The pulleys are smooth and massless. The strings are massless and inextensible. A force

F

is applied on the leftmost block so as to move the system. The minimum value of

F

should be

Q. Mass of block A is

100 kg

and that of block B is

200 kg

. As shown in figure, the block A is attached to a string tied to the wall. The coefficient of static friction between blocks A and B is

(μ_{s})_{A} = 0.2

and the coefficient of static friction between block B and floor is

(μ_{s})_{B} = 0.3

. Then calculate the minimum value of force

F

required to move the block B.

(g = 10 {m/s}^{2})

Q. In the figure shown below, a horizontal force

F

is applied on

4 kg

block towards left. If the coefficient of friction between the surfaces are

0.5

and

0.4

as shown in the figure. The value of Tension in the rope and force required just to slide the

4 kg

block under

2 kg

block is
(rope is massless and inextensible)

Join BYJU'S Learning Program

A block R of mass 100 kg is placed on a block S of mass 150 kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ. If the coefficient of static friction for all surfaces is 0.4, the minimum of force F(in kN) needed to move the block S is

The correct option is D 1.37Free body diagram of block R and S. Free body diagram of block R and S. F≥μN1+μN2 F≥μ(N1+ N2) F≥μ(WR+WR+WS) F≥0.4(100+100+150)×9.81 F≥1373.4N F≥1.37kN

The correct option is D 1.37
Free body diagram of block R and S.

Free body diagram of block R and S.
$F \geq μ N_{1} + μ N_{2}$

$F \geq μ (N_{1} + N_{2})$

$F \geq μ (W_{R} + W_{R} + W_{S})$

$F \geq 0.4 (100 + 100 + 150) \times 9.81$

$F \geq 1373.4 N$

$F \geq 1.37 k N$