1. A box slides down a ramp with position vector given by r= 0.5t i + 3f² j + 8t k (m), where t is in s.At t = 3 s, what is the box's velocity and acceleration? What is the box's speed?

GIVEN: A box slides down a ramp with position vector given by r=0.5+ i + 3t2 i +8t k (m), where t is…

Answered: A box slides down a ramp with position…

Engineering

Mechanical Engineering

A box slides down a ramp with position vector givem At t = 3 s, what is the box's velocity and acceleration

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 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...

See similar textbooks

Related questions

Q: Don't Use Chat GPT Will Upvote And Give Handwritten Solution Please

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: Let mass attached=m Spring constant of spring =k Apply Newton's second law for the system ,…

Q: Draw and discuss the FBD for the following system. • Label all forces and directions. • How many…

A: K

Q: Boat is pulléd into a dock by means of a winch 2 meters above the deck of the boat (see figure). The…

Q: Required information The cutaway of the gun barrel shows a projectile moving through the barrel. The…

A: Step 1:The equation representing Newton's second law of motion is fundamental to the understanding…

Q: A centrifuge is a device in which a small container of material is rotated at a high speed on a…

Q: Q5. the acceleration due the gravity on the moon is 1/6 of what it is on earth. If you can throw a…

Q: A roundtable is at rest and then is set in motion with a constant angular acceleration 25 rad/s2.…

Q: A four-bar mechanism is used to transmit power to slider E. Link AC rotates counterclockwise at 100…

A: Given DataNAC=100rpmAC=35cmCD=45cmBD=45cmDE=40cmωAC=2πNAC60=10.47rad/s ***As per our company policy…

Q: 22 only Find an absolute velocity and acceleration of Particle M at time t=t1 if relative motion of…

A: ϕc=2t2-5tAngular velocity wc=dϕdt=4t-5 so absolute velocity =Rωs…

Q: 3. A four-bar linkage is shown below. (A) the directions of each. (B) E on link 3. Use the method of…

Q: A) B) Find and report the magnitudes and directions for w3 and w4. Find and report the magnitude and…

A: Drawing vector polygon for above problem From figω4=Vc/DCD=-116.43110110=-1.058rad/s-ve CCW

Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

1. A box slides down a ramp with position vector given by r= 0.5t i + 3f² j + 8t k (m), where t is in s.
At t = 3 s, what is the box's velocity and acceleration? What is the box's speed?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions

The figure below (not to scale) shows an acceleration-time graph of a body. a (m/s^2) 0 7 t(s) B 27 If the initial velocity was zero, a(0) = a0 = 10.7 m/s^2, a(7) = a7 = -2.2 m/s^2 and the particle's acceleration returns to zero at t = 10s, what will the body's velocity be at t = 10 s? Express your answer to three significant figures in units of m/s (but do not write the units with your answer).
= MMB 241 Tutorial 2.pdf 3/3 75% + + 6. A particle is traveling along the parabolic path y = 0.25 x². If x = 8 m, vx=8 m/s, and ax= 4 m/s² when t = 2 s, determine the magnitude of the particle's velocity and acceleration at this instant. y = 0.25x² -x 7. Determine the speed at which the basketball at A must be thrown at the angle of 30° so that it makes it to the basket at B. 30° -x 1.5 m B 3 m -10 m- 8. The basketball passed through the hoop even though it barely cleared the hands of the player B who attempted to block it. Neglecting the size of the ball, determine the 2
Example 2:A particle moving along a straight line is subjected to a deceleration a = (-2v') m/s², where v is in m/s. If it has a velocity v = 8 m/s and a position s = 10 m when 0, determine its velocity and position when t = 4 s. t = %3D
A point P moves on a path with s = ct where c = 0.7 ft/sec. Att = 2.3 sec, the magnitude of the acceleration is 18.0 ft/sec?. At that time, find the radius of curvature (in ft) of the path at P.
4. A girl tosses a ball at an initial velocity of VA = 8 ft/s at an angle of 0 = 25°. A boy catches the ball at Point B, which is at the same height as Point A. Answer the following questions. a. What is the initial velocity of the ball in A = (VA) x² + (VA) format? Show your work. Velocity in A = (VA) x + (VA)yj format C. b. Where is the ball when it reaches its maximum height? Justify your response by describing where the ball is relative to the position of Points A & B. No math is required. Units What is known about the x- and y-components of velocity and acceleration of the ball at the maximum height? No math is required. d. If we assume that Points A & B are both 3 ft above the ground, what is the maximum total height of the ball? Show your work. Magnitude rounded to 3 sig. fig. Units
The elevator in an office building, starting from rest at the first floor, is accelerated 0.75 m/sec2 for 5 secs. It continues at constant velocity for 12 secs, more and is then stopped in 3 secs with constant deceleration. If the floors are 3.75 m apart, at what floor did the elevator stop?
4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]
4. 2) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions 4 1.0 ft, and 2 = 1.7 ft, VA = 4.9 ft/s, aa = 2.6 ft/s2, and the angle 0 = 27°, determine the speed of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. В 12 D a Your Answer: Answer units 1,
Dev
Vr A camera tracks the position of a particle moving along the given path with b = 10 m. At the moment shown, the camera angle is 0 = 40°, and the camera is rotating at 0.3 rad/s, which is accelerating at a rate 0 = 0.2 rad/s². What are the radial and transverse components of velocity and acceleration at this instant? Vo = Ar 0 ao = r = b sin(20) m/s m/s m/s² m/s² =
Consider the motion of a soccer ball that is kicked from the point (Xo-Yo) = (0,0) with an initial velocity of (uovo) = (40,8) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥ 0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball.
A car moves along a straight line. The car starts to move from Thi- Qar toward Baghdad with a constant velocity of 120 km/hr, compute the following: 1- If you know the car needs 3 hrs to reach out to Baghdad, What is the total displacement between Thi-Qar and Baghdad? 2- what is the value of the constant acceleration?