30% Fig-5 Fig-6 6. Find the value of 0 if the blocks A and B shown in Fig.6, have impending motion. Given

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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7:53 PM
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friction problems.pdf
is V.3. Determine the force to be appreu to Dick D w produce the impending moon
block B down the plane.
50⁰
Fig-5
Fig-6
6. Find the value of 0 if the blocks A and B shown in Fig.6. have impending motion. Given
block A = 20 kg, block B = 20 kg. HAHB=0.25.
7.
Find force P required to pull block B (shown in Fig. 7). Coefficient of friction between A
and B is 0.3 and between B and floor is 0.25. Weights of A = 20 kg and B = 30 kg.
B
P
B
www/www/
30°
Fig-9
80 N
60°
50 N
1,0.30
40 N
Fig-7
Fig-8
8. Three blocks are placed on the surface one above the other as shown in Fig. 8. The static
coefficient of friction between the blocks and block C and surface is also shown. Determine
the maximum value of P that can be applied before any slipping takes place.
B
9. Two rectangular blocks of weight, W₁ = 150 N and W2 = 100 N are connected by a string
and rest on an inclined plane and on a horizontal surface as shown in Fig.9. The coefficient
of friction for all contiguous surfaces is m = 0.2. Find the magnitude and direction of the
least force P at which the motion of the blocks will impend. (Ans. P = 161.7 N and 0 =
11.31")
H-0.40
30°
H=0,25
TH=0.15
30 kg
50 kg
TTTTT
H. 0.45
0.40 40 kg
Fig-10
10. The three flat blocks are positioned on the 30⁰ incline, as shown in Fig. 10, and a force P
parallel to the incline is applied to the middle block. The upper block is prevented from
moving by a wire which attaches it to the fixed support. The coefficient of static friction
for each of the three pairs of surfaces is shown. Determine the maximum value which P
may have before any slipping takes place. Take g = 10 m/s.(Ans: P= 95.58 N)
Ladder Friction
11. A ladder 5 meters long rests on a horizontal ground and leans against a smooth vertical
wall at an angle 70° with the horizontal. The weight of the ladder is 900 N and acts at its
middle. The ladder is at the point of sliding, when a man weighing 750N stands on a rung
1.5 meter from the bottom of the ladder. Calculate the coefficient of friction between the
ladder and the floor.
12. A uniform ladder of 4 m length rests against a vertical wall with which it makes an angle
of 45°. The coefficient of friction between the ladder and the wall is 0.4 and that between
ladder and the floor is 0.5. If a man, whose weight is one-half of that of the ladder ascends
it, how high will it be when the ladder slips?
13. A uniform ladder 3 m long weighs 200 N. It is placed against a wall making an angle of
60° with the floor as shown in Fig. 13.
The coefficient of friction between the wall and the ladder is 0.25 and that
ladda
Jeden 0.2 The 13.
4G+
#all
56
:
Transcribed Image Text:7:53 PM ← friction problems.pdf is V.3. Determine the force to be appreu to Dick D w produce the impending moon block B down the plane. 50⁰ Fig-5 Fig-6 6. Find the value of 0 if the blocks A and B shown in Fig.6. have impending motion. Given block A = 20 kg, block B = 20 kg. HAHB=0.25. 7. Find force P required to pull block B (shown in Fig. 7). Coefficient of friction between A and B is 0.3 and between B and floor is 0.25. Weights of A = 20 kg and B = 30 kg. B P B www/www/ 30° Fig-9 80 N 60° 50 N 1,0.30 40 N Fig-7 Fig-8 8. Three blocks are placed on the surface one above the other as shown in Fig. 8. The static coefficient of friction between the blocks and block C and surface is also shown. Determine the maximum value of P that can be applied before any slipping takes place. B 9. Two rectangular blocks of weight, W₁ = 150 N and W2 = 100 N are connected by a string and rest on an inclined plane and on a horizontal surface as shown in Fig.9. The coefficient of friction for all contiguous surfaces is m = 0.2. Find the magnitude and direction of the least force P at which the motion of the blocks will impend. (Ans. P = 161.7 N and 0 = 11.31") H-0.40 30° H=0,25 TH=0.15 30 kg 50 kg TTTTT H. 0.45 0.40 40 kg Fig-10 10. The three flat blocks are positioned on the 30⁰ incline, as shown in Fig. 10, and a force P parallel to the incline is applied to the middle block. The upper block is prevented from moving by a wire which attaches it to the fixed support. The coefficient of static friction for each of the three pairs of surfaces is shown. Determine the maximum value which P may have before any slipping takes place. Take g = 10 m/s.(Ans: P= 95.58 N) Ladder Friction 11. A ladder 5 meters long rests on a horizontal ground and leans against a smooth vertical wall at an angle 70° with the horizontal. The weight of the ladder is 900 N and acts at its middle. The ladder is at the point of sliding, when a man weighing 750N stands on a rung 1.5 meter from the bottom of the ladder. Calculate the coefficient of friction between the ladder and the floor. 12. A uniform ladder of 4 m length rests against a vertical wall with which it makes an angle of 45°. The coefficient of friction between the ladder and the wall is 0.4 and that between ladder and the floor is 0.5. If a man, whose weight is one-half of that of the ladder ascends it, how high will it be when the ladder slips? 13. A uniform ladder 3 m long weighs 200 N. It is placed against a wall making an angle of 60° with the floor as shown in Fig. 13. The coefficient of friction between the wall and the ladder is 0.25 and that ladda Jeden 0.2 The 13. 4G+ #all 56 :
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