The acceleration of the pendulum mass D is; r"_d = [x''(t) + lθ'' cos θ - lθ'² sin θ]i - l[θ'' sin θ - θ'² cos θ]j
<h3>What is Kinematics of particles?</h3>
Kinematics is the study of the geometry of motion of particles, rigid bodies, etc., disregarding the forces associated with these motions. However, Kinematics of a particle is the motion of a point in space.
From the sample problem, we can solve it using the (x, y, z) coordinate system to get;
r_c = x(t) i
r_d = [x(t) + l sin θ]i + l cos θ j
Finding the first derivative of r_d gives velocity as;
r'_d = [x'(t) + lθ' cos θ]i - lθ' sin θ j
Taking the second derivative of r_d gives the acceleration as;
r"_d = [x''(t) + lθ'' cos θ - lθ'² sin θ]i - l[θ'' sin θ - θ'² cos θ]j
A sample problem of kinematics of particles is;
A block C slides along the horizontal rod, while a pendulum attached to the block can swing in the vertical plane. Find the acceleration of
the pendulum mass D.
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Based on the information given, the ranking will be Vendor B, Vendor D, and Vendor C.
Vendor B must be the first vendor to be chosen because it is the dominant vendor across all the three vendors stated in the question and has better ratings when compared to other vendors.
Vendor D is the second choice of vendor since it outperforms Vendor C. Vendor C must be the third choice of vendor since, in case of flexibility and timely product shipment, vendor D outperforms it.
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The Earth is known as a spherical body. The force of gravity of the Sun on Earth in June compared to December is slightly smaller.
- Earth is simply known to slightly closer to the Sun on one side of its orbit than on the other side.
Kepler's second law states that as a planet moves round the Sun, it sweeps out equal areas in equal times.
All the planets do moves around the Sun in nearly the same plane. The Sun is found to be slightly off-center from the middle of each planet's orbit.
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Area of the semicircle = 1/2(3.14)(6)² = 56.52 ft²
Area of the rectangle = 40 x 12 = 480 ft²
Area of the triangle = 1/2 x 12 x 5 = 30 ft²
Total Area = 56.52 + 480 + 30 = 566.52 ft²
Answer: 566.52 ft²
The area of an irregular shape can be found by dividing the shape into polygons with gaps between them: True.
<h3>What is a polygon?</h3>
A polygon is a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:
In Geometry, the area of an irregular shape can be found by dividing the shape into polygons with gaps between them and then add their areas together.
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