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- !!omap
- - name: unknown
- - parts:
- - name: head
- shapes:
- libraries: ['from math import tan, radians, sin, cos', from pysketcher import
- *]
- - name: constants
- shapes:
- fontsize: 18 # size of the characters
- g: 9.81 # constant gravity
- theta: 30.0 # inclined plane angle
- L: 10.0 # sketch sizing parameter
- a: 1.0 #
- xmin: 0.0 # sketech min Abscissa
- ymin: -3.0 # sketech min Ordinate
- rl: 2.0 # rectangle width
- rL: 1.0 # rectangle length
- - name: frame
- shapes:
- setframe: # sketch setup
- action: drawing_tool.set_coordinate_system(xmin=xmin-L/5, xmax=xmin+1.5*L,ymin=ymin,
- ymax=ymin+1.5*L,instruction_file='tmp_mpl_friction.py')
- setblackline: # default frame values and actions
- action: drawing_tool.set_linecolor('black')
- B: point(a+L,0) # wall right end
- A: point(a,tan(radians(theta))*L) # wall left end
- normal_vec: point(sin(radians(theta)),cos(radians(theta))) # Vector normal to wall
- tangent_vec: point(cos(radians(theta)),-sin(radians(theta))) # Vector tangent to wall
- help_line: Line(A,B) # wall line
- x: a + 3*L/10. # contact point Abscissa
- y: help_line(x=x) # contact point Ordinate
- contact: point(x, y) # contact point: middle of the rectangle bottom edge
- c: contact + rL/2*normal_vec
- - name: body
- shapes:
- rectangle:
- formula: Rectangle(contact, rl, rL)
- style:
- linecolor: blue
- filled_curves:
- color: blue
- transform: ['rotate(-theta, contact)', translate(-rl/2*tangent_vec)]
- N:
- formula: Force(contact - rl*normal_vec, contact, r'$N$', text_pos='start')
- style:
- linecolor: black
- wheel:
- formula: "Composition({'outer': rectangle})"
- style:
- shadow: 1
- mc:
- formula: Text(r'$c$', c)
- body:
- formula: "Composition({'wheel': wheel, 'N': N, 'mc': mc})"
- style:
- linecolor: black
- - name: plan
- shapes:
- mB:
- formula: Text(r'$B$',B)
- mA:
- formula: Text(r'$A$', A)
- wall:
- formula: Wall(x=[A[0], B[0]], y=[A[1], B[1]], thickness=-0.25,transparent=False)
- style:
- linecolor: black
- x_const:
- formula: Line(contact, contact + point(0,4))
- style:
- linestyle: dotted
- transform: rotate(-theta, contact)
- x_axis:
- formula: Axis(start=contact+ 2*rl*normal_vec, length=2*rl,label='$x$', rotation_angle=-theta)
- plan:
- formula: "Composition({'body': body, 'inclined wall': wall, 'x start': x_const,\
- \ 'x axis': x_axis, 'mA': mA, 'mB': mB})"
- - name: friction
- shapes:
- mg:
- formula: Gravity(c, rl, text='$Mg$')
- style:
- linecolor: black
- angle:
- formula: Arc_wText(r'$<bslash>theta$', center=B, radius=3, start_angle=180-theta,
- arc_angle=theta, fontsize=fontsize)
- style:
- linecolor: black
- linewidth: 1
- ground:
- formula: Line((B[0]-L/10., 0), (B[0]-L/2.,0))
- stlye:
- linecolor: black
- linestyle: dashed
- linewidth: 1
- friction:
- formula: "Composition({'plan': plan, 'ground': ground, 'mg': mg, 'angle':\
- \ angle})"
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