(a) Explanation Given information: The total mass of the uniform rod is m . The impulsive force is F Δ t . The length of rod CB is 2 a . The length of rod CD and AB is a . Calculation: Show the free body diagram of the rod as Figure (1). Apply the principle of impulse and momentum and consider the impulsive forces alone. Take the horizontal forces by considering x axis components as follows: m v ¯ x = 0 v ¯ x = 0 Here, m is the mass and v ¯ x is the velocity after impact in the x direction. The velocity before impact is zero. Assume the forces acting towards the right are taken as positive. Take the vertical forces by considering y axis components as follows: T ( Δ t ) = m v ¯ y Here, T ( Δ t ) is the force acting at B due to the suspended uniform rod and v ¯ y is the velocity after impact in y direction. The velocity of the rod after impact in the y direction is zero. Forces acting in the upward direction are positive. Substitute 0 for v ¯ y . T ( Δ t ) = m ( 0 ) = 0 Take the forces by considering the z axis components as follows: − F ( Δ t ) = m v ¯ z Here, F ( Δ t ) is the impulse at D and v ¯ z is the velocity in the z direction. Forces acting downwards are taken as positive (b) To determine Find the angular velocity ( ω ) of the rod.

12th Edition

ISBN: 9781260265453

Author: BEER

Publisher: MCG

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 18.1, Problem 18.23P

(a)

To determine

Find the velocity (v¯) of the mass center of the rod.

(b)

To determine

Find the angular velocity (ω) of the rod.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 18.1, Problem 18.22P

Chapter 18.1, Problem 18.24P

Students have asked these similar questions

a station is constructed on a concrete slab floor. The heat loss from the floor slab is significant, given the cold environment, and is measured to be 5 kW. The edges of the floor slab are insulated with a 60 mm thickness of cellular glass insulation. The width of this insulation at the floor slab is 0.9 m. To avoid excessive fuel consumption, the station air temperature is maintained at a slightly cool temperature of 18ºC. The station is constructed in a square shape, to keep the surface area to volume ratio low; the horizontal dimensions of the floor of the station are 20 m by 20 m. The number of occupants in the research station varies between 5 and 20, depending on the research workload.a) Determine the design outdoor temperature that was used in designing the research station.b) If the floor dimensions of the station are changed to 15 m by 25 m, would the design outdoor temperature that was used in designing the research station from part (a) change? If so, what would it be?…

Finite Element Analysis

Chapter 18 Solutions

VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS

Ch. 18.1 - A thin, homogeneous disk of mass m and radius r...Ch. 18.1 - Prob. 18.2P Ch. 18.1 - Prob. 18.3P Ch. 18.1 - A homogeneous disk of weight W = 6 lb rotates at...Ch. 18.1 - A homogeneous disk of mass m = 8 kg rotates at the...Ch. 18.1 - A solid rectangular parallelepiped of mass m has a...Ch. 18.1 - Prob. 18.8P Ch. 18.1 - Determine the angular momentum HD of the disk of...Ch. 18.1 - Prob. 18.10P Ch. 18.1 - Determine the angular momentum HO of the disk of...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Find the velocity ( v ¯ ) of the mass center of the rod.

Solution Summary: The author explains the principle of impulse and momentum and considers the impulsive forces alone.