Write the spanish translations to the following sentences. My kitchen is bigger than your kitchen. My bedroom is smaller than yo
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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.
Read more about Kinematics of Particles at; brainly.com/question/26269548
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The number of different combinations of these items that you can make if you choose four (4) toppings is equal to 1.
<h3>How to calculate the combinations of these items.</h3>In order to determine the combinations of these items that this person can make, we would use this mathematical model known as combination.
Mathematically, combination is calculated by using this mathematical equation:
<u>Where:</u>
- n is the total number of items.
- r is the number of times of choosing items.
<u>Given the following data:</u>
- Number of toppings = 4.
Let us assume you'll choose four (4) toppings.
Substituting the given parameters into the formula, we have;
⁴C₄ = 4/4
⁴C₄ = 1.
Read more on combination here: brainly.com/question/17139330