Write the definitions of angular velocity of motion

Reference no: EM132766508

Statics and Dynamics Assignment

Answer all questions

(Write your name, Examination Roll No. and Class Roll No. at the top on your answer sheet)

Question 1. Prove that the system of coplanar forces reduces to a single force R and a single couple G.

Question 2. Forces of magnitude P, Q, R act along the sides BC, CA, AB of the triangle ABC. If F be the magnitude of the resultant, then show that F² = P² + Q² + R² - 2QRcosA - 2RPcosB - 2PQcosC.

Question 3. State and prove the principle of virtual work for a system of coplanar forces acting on a particle of a rigid body.

Question 4. When a particle is said to execute a Simple Harmonic Motion? Also write down the geometrical representation of Simple Harmonic Motion.

Question 5. Write the definitions of angular velocity of motion and angular acceleration of direction of motion. Also find out the relation between angular and linear velocities.

Question 6. A particle describes a curve (for which s and ψ vanish simultaneously) with uniform speed v. If the acceleration at any point s be v² c/(s² +c²), c is constant. Prove that the curve is s = c tan(cψ)

Question 7. A points moves in a curve so that its tangential and normal accelerations are equal and the tangent rotates with constant angular velocity. Show that the intrinsic equation of the path is of the form S = Ae^ψ + B.

Question 8. Find the law of force for the central orbit r² = a² cos2θ. Also find the pedal equation.

Reference no: EM132766508

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