admin@mazurekgravity.in

A slender rod CDE of length L and mass m is attached to a pin support at its midpoint D. A second and identical rod AB is rotating about a pin support at A with an angular velocity ω1 when its end B strikes end C of rod CDE. Denoting by e the coefficient of restitution between the rods, determine the angular velocity of each rod immediately alter the impact.

Question-Answer › Category: Engineering Mechanics › A slender rod CDE of length L and mass m is attached to a pin support at its midpoint D. A second and identical rod AB is rotating about a pin support at A with an angular velocity ω1 when its end B strikes end C of rod CDE. Denoting by e the coefficient of restitution between the rods, determine the angular velocity of each rod immediately alter the impact.
0 Vote Up Vote Down
Cangel asked 1 year ago

A slender rod CDE of length L and mass m is attached to a pin support at its midpoint D. A second and identical rod AB is rotating about a pin support at A with an angular velocity ω1 when its end B strikes end C of rod CDE. Denoting by e the coefficient of restitution between the rods, determine the angular velocity of each rod immediately alter the impact.

Question Tags:
1 Answers
0 Vote Up Vote Down
Sazid Ahmad answered 1 year ago

Step 1

Given data
Mass of the rod = m
Coefficient of restitution = e
Mechanical Engineering homework question answer, step 1, image 1
To draw the impulse–momentum diagrams that are needed to determine the angular velocity of each rod immediately after the impact.

Step 2

Momenta diagram for the rod AB
Mechanical Engineering homework question answer, step 2, image 1
Apply momenta principle before impulse, at the impulse and after the impulse
 
Mechanical Engineering homework question answer, step 2, image 2

Step 3

Momenta diagram for the rod CD
Mechanical Engineering homework question answer, step 3, image 1
Considering the moment at D and substitute impulse equation in (1)
Mechanical Engineering homework question answer, step 3, image 2
Equation for angular velocity of the rod AB
Mechanical Engineering homework question answer, step 3, image 3

Step 4

Calculation of angular velocity of the rod CE
Mechanical Engineering homework question answer, step 4, image 1
Calculation of angular velocity of the rod AB
Mechanical Engineering homework question answer, step 4, image 2

Your Answer

11 + 19 =