Q1/ If an applied force varies with position according to Fx = 3X³ + 2t² +t + 4 , where X in meter .How much work is done by this force on an object that moves from x= 5m to x= 10 %3D m?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
icon
Related questions
Question
Q1/ If an applied force varies with position according to Fx = 3X3 + 2t² +t + 4, where X
in meter .How much work is done by this force on an object that moves from x= 5m to x= 10
%3D
m?
Q2/ A force F = (7 i– 10j)N acts on a particle that a displacement d = (2i+ 3j)m .find
the work done by the particle, and the angle between force and displacement?
Q3/ A body of mass 200 kg is travelling at speed of Vi=250 m/sec ,with a constant force of
100N for a displacement of 20 m. determine the final speed ofthe body ?
Q4/ A body of mass 1 kg move along the Y-axis, its position varied with time according to
equation y = 5t7 + 4t5 + 2t3 +t + 2,where y in meter and t in second. find :
a- The kinetic energy at any time.
b- The power being delivered to the particle at time t.
c- The work done on the particle in the internalt=4 sec to t-8 sec.
Q5/How much kinetic energy has a 160g cricket ball when it is thrown at a speed of 22m/s?
Q6/ A bullet of mass 0.00951 kg is travelling at a speed Vi=343 m/sec. The bullet exerts a
constant force of 20N for displacement of 30m .determine the final speed of the bullet?
Q7/ A particle of mass 7 kg moves along the y-axis. Its position varies with time according
to equation y = 4t5 + 3t* + 2t³ +t² + t + 1 ,where y in meter and t in second. Find:
a- The acceleration of the particle and the force acting on it at time t.
b- The power being delivered to the particle at time t.
c- The change of kinetic energy and the work done on the particle in the interval t=3 to
t=5 sec.
Transcribed Image Text:Q1/ If an applied force varies with position according to Fx = 3X3 + 2t² +t + 4, where X in meter .How much work is done by this force on an object that moves from x= 5m to x= 10 %3D m? Q2/ A force F = (7 i– 10j)N acts on a particle that a displacement d = (2i+ 3j)m .find the work done by the particle, and the angle between force and displacement? Q3/ A body of mass 200 kg is travelling at speed of Vi=250 m/sec ,with a constant force of 100N for a displacement of 20 m. determine the final speed ofthe body ? Q4/ A body of mass 1 kg move along the Y-axis, its position varied with time according to equation y = 5t7 + 4t5 + 2t3 +t + 2,where y in meter and t in second. find : a- The kinetic energy at any time. b- The power being delivered to the particle at time t. c- The work done on the particle in the internalt=4 sec to t-8 sec. Q5/How much kinetic energy has a 160g cricket ball when it is thrown at a speed of 22m/s? Q6/ A bullet of mass 0.00951 kg is travelling at a speed Vi=343 m/sec. The bullet exerts a constant force of 20N for displacement of 30m .determine the final speed of the bullet? Q7/ A particle of mass 7 kg moves along the y-axis. Its position varies with time according to equation y = 4t5 + 3t* + 2t³ +t² + t + 1 ,where y in meter and t in second. Find: a- The acceleration of the particle and the force acting on it at time t. b- The power being delivered to the particle at time t. c- The change of kinetic energy and the work done on the particle in the interval t=3 to t=5 sec.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Basic Terminology in Mechanics
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L