Question

Kinematics of particles problems and solutions pdf

Answer 1

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

What is Kinematics of particles?

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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