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Lesson 1: Equilibrium of a Particle, Friction and Limiting Static Friction — Picture questions (exam style)

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1.
A 10 kg body on a rough plane (μ = 0.25) inclined at 30° is pulled by P at 0° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
A 10 kg body on a rough plane (μ = 0.25) inclined at 30° is pulled by P at 0° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
P = 70.22 N, R = 84.87 N
P = 70.22 N, R = 98 N
P = 27.78 N, R = 84.87 N
P = 70.22 N, R = 101.8 N
2.
Find the normal reaction on the 8 kg body (g = 9.8).
Find the normal reaction on the 8 kg body (g = 9.8).
78.4 N
33.1 N
71.1 N
36.6 N
3.
If the body shown is on the point of moving, find the coefficient of static friction.
If the body shown is on the point of moving, find the coefficient of static friction.
0.406
0.289
0.706
0.408
4.
A 5 kg body on a rough plane (μ = 0.3) inclined at 45° is pulled by P at 15° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
A 5 kg body on a rough plane (μ = 0.3) inclined at 45° is pulled by P at 15° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
P = 45.04 N, R = 23.48 N
P = 41.69 N, R = 49 N
P = 43.16 N, R = 23.48 N
P = 41.69 N, R = 23.48 N
5.
Find the force P parallel to the plane that pulls the 15 kg body up at constant speed (μ = 0.3, g = 9.8).
Find the force P parallel to the plane that pulls the 15 kg body up at constant speed (μ = 0.3, g = 9.8).
128 N
94.5 N
33.8 N
60.7 N
6.
Find the least force P parallel to the plane that stops the 6 kg body sliding down (μ = 0.25, g = 9.8).
Find the least force P parallel to the plane that stops the 6 kg body sliding down (μ = 0.25, g = 9.8).
45.8 N
12.0 N
21.7 N
33.7 N
7.
Find the normal reaction on the 8 kg body shown (g = 9.8).
Find the normal reaction on the 8 kg body shown (g = 9.8).
78.400 N
68.400 N
17.321 N
88.400 N
8.
Find the normal reaction on the 4 kg body shown (g = 9.8).
Find the normal reaction on the 4 kg body shown (g = 9.8).
39.200 N
56.521 N
10.000 N
21.879 N
9.
A 5 kg body on a rough plane (μ = 0.3) inclined at 37° is pulled by P at 0° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
A 5 kg body on a rough plane (μ = 0.3) inclined at 37° is pulled by P at 0° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
P = 41.23 N, R = 49 N
P = 41.23 N, R = 39.13 N
P = 41.23 N, R = 46.96 N
P = 17.75 N, R = 39.13 N
10.
A 2 kg body on rough horizontal ground (μ = 0.25) is pulled by 50 N at 20° above the horizontal as shown. Find its acceleration (g = 9.8).
A 2 kg body on rough horizontal ground (μ = 0.25) is pulled by 50 N at 20° above the horizontal as shown. Find its acceleration (g = 9.8).
22.550 m/s2
21.042 m/s2
23.492 m/s2
23.180 m/s2
11.
Find the force P parallel to the plane that pulls the 5 kg body up at constant speed (μ = 0.1, g = 9.8).
Find the force P parallel to the plane that pulls the 5 kg body up at constant speed (μ = 0.1, g = 9.8).
16.8 N
12.2 N
21.4 N
4.60 N
12.
Find the normal reaction on the 10 kg body shown (g = 9.8).
Find the normal reaction on the 10 kg body shown (g = 9.8).
60.000 N
98.000 N
170.520 N
206.780 N
13.
A 8 kg body on rough horizontal ground (μ = 0.5) is pulled by 100 N at 20° above the horizontal as shown. Find its acceleration (g = 9.8).
A 8 kg body on rough horizontal ground (μ = 0.5) is pulled by 100 N at 20° above the horizontal as shown. Find its acceleration (g = 9.8).
6.846 m/s2
7.600 m/s2
8.984 m/s2
11.746 m/s2
14.
Find the least force P parallel to the plane that stops the 4 kg body sliding down (μ = 0.4, g = 9.8).
Find the least force P parallel to the plane that stops the 4 kg body sliding down (μ = 0.4, g = 9.8).
2.36 N
16.6 N
30.8 N
14.2 N
15.
Find the least force P parallel to the plane that stops the 6 kg body sliding down (μ = 0.15, g = 9.8).
Find the least force P parallel to the plane that stops the 6 kg body sliding down (μ = 0.15, g = 9.8).
41.6 N
6.24 N
47.8 N
35.3 N
16.
A 5 kg body on a rough plane (μ = 0.25) inclined at 37° is pulled by P at 30° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
A 5 kg body on a rough plane (μ = 0.25) inclined at 37° is pulled by P at 30° above the line of greatest slope and is about to move up. Which option is correct? (g = 9.8)
P = 39.63 N, R = 19.32 N
P = 39.63 N, R = 58.95 N
P = 26.59 N, R = 58.95 N
P = 39.27 N, R = 19.32 N
17.
A 4 kg body on rough horizontal ground (μ = 0.5) is pulled by 30 N at 20° above the horizontal as shown. Find its acceleration (g = 9.8).
A 4 kg body on rough horizontal ground (μ = 0.5) is pulled by 30 N at 20° above the horizontal as shown. Find its acceleration (g = 9.8).
7.048 m/s2
2.148 m/s2
2.600 m/s2
3.430 m/s2
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