A crate of mass 20kg is pulled by a force of 100N at an angle 30 above the horizon an friction force of 20N develops between the crate and surface draw a force diagram and free body diagram
We can't make drawings for you here.
Draw a rectangular block on a hozontal line (the level surface).
The forces acting on it, which should be shown as arrows, are:
Weight 20g = 198 N down
Friction force 20 N backwards
Ground force 198 - 100 sin30 N up
Pulling force 100 N at 30 deg above horizontal
The vertical component of the pulling forces helops to reduce the ground force.
Since there is a net forward force,
100 cos30 - 20 = 66.6 N,
the block will accelerate
Well, this sounds like a "crate" challenge! Let me humor you with a forceful response!
Force diagram:
↑
│
Friction ← ──┤
│
→ ↑ │
Force │ │
of │ │
100N │ │
──┘
Surface ↑ ┼
normal │
force │
︵ │
│ │
Gravitational
force ┘
Free body diagram:
↑
│
T ← ──┤
│
→ ↑ │
F │ │
n │ │
100N │ │
──┘
↑ │
│ │
Gravitational
force ┘
And there you have it! The force diagram shows the friction force (20N) opposing the motion, the surface normal force (Fn) acting perpendicular to the surface, and the pulling force (T, 100N) at an angle of 30 degrees above the horizon. The free body diagram focuses on the gravitational force (mg) acting downwards and the tension force (T) acting at an angle. May the forces be with you!
To draw a force diagram and free body diagram for the scenario described, follow these steps:
1. Identify the forces acting on the crate:
a. The applied force: A force of 100N is being applied at an angle of 30° above the horizon.
b. The gravitational force: The weight of the crate acts vertically downward and can be calculated using the formula F = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s²).
c. The frictional force: A friction force of 20N develops between the crate and the surface.
2. Draw a force diagram:
a. Start by drawing a dot to represent the crate.
b. Draw an arrow pointing upward to represent the applied force of 100N at a 30° angle above the horizon.
c. Draw a downward arrow to represent the gravitational force, which should be shorter than the applied force arrow (since the force of gravity is less than the applied force in this case).
d. Draw an arrow pointing to the left, representing the frictional force of 20N. This arrow should be shorter than the gravitational force arrow.
3. Draw a free body diagram:
a. Start by drawing a box to represent the crate.
b. Inside the box, draw arrows to represent the forces acting on the crate.
- An arrow pointing upward to represent the applied force of 100N at a 30° angle.
- An arrow pointing downward to represent the gravitational force.
- An arrow pointing to the left to represent the frictional force of 20N.
Remember that the length and direction of the arrows should be proportional to the magnitudes and directions of the forces.
To draw a force diagram and a free body diagram for the given scenario, follow these steps:
1. Identify the object: In this case, the object is a crate with a mass of 20kg.
2. Identify the forces acting on the object:
a. The applied force pulling the crate with a magnitude of 100N at an angle of 30 degrees above the horizontal (let's call it F_app).
b. The force of friction opposing the motion with a magnitude of 20N (let's call it F_friction).
c. The force of gravity acting on the crate, which can be further broken down into two components:
- The vertical component (weight) acting downward (let's call it F_weight_vertical).
- The horizontal component (normal force) acting perpendicular to the applied force (let's call it F_weight_horizontal).
3. Draw the force diagram:
a. Represent the applied force (F_app) as an arrow pointing in the direction of the applied force and labeled with the magnitude (100N) and the angle (30 degrees).
b. Represent the force of friction (F_friction) as an arrow pointing in the opposite direction to the applied force and labeled with its magnitude (20N).
c. Represent the force of gravity (F_weight) as two arrows:
- The vertical component (F_weight_vertical) pointing downward and labeled with its magnitude (mg = 20kg * 9.8m/s^2).
- The horizontal component (F_weight_horizontal) pointing in the opposite direction to the applied force.
4. Draw the free body diagram:
a. Draw a box to represent the object (crate).
b. Label the box with the object's mass (20kg).
c. Draw and label arrows representing all the forces acting on the object:
- The applied force (F_app) should be represented as an arrow pointing in the direction of the applied force.
- The force of friction (F_friction) should be represented as an arrow pointing in the opposite direction to the applied force.
- The force of gravity (F_weight) should be represented as two arrows:
* The vertical component (F_weight_vertical) pointing downward.
* The horizontal component (F_weight_horizontal) pointing opposite to the applied force.
Remember to label the magnitudes and angles of all the forces to accurately represent the given scenario.