The velocity of a particle which moves along thes-axis is given by v = 2 + 5t32, where t is in seconds and v is in meters per second. Evaluate the displacement s, velocity v, and acceleration a when t = 4 s. The parti- cle is at the origin s = 0 when t = 0.

The velocity of a particle which moves along thes-axis is given by v = 2 + 5t32, where t is in seconds and v is in meters per second. Evaluate the displacement s, velocity v, and acceleration a when t = 4 s. The parti- cle is at the origin s = 0 when t = 0.

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: (i) An ideal gas at a given state expands to a fixed final volume first at constant pressure and…

A: Given data. Fixed final volume. Constant pressure process. Constant temperature process. Which…

Q: The figureshows a copper rod that is placed in an aluminum tube. The rod is 0.005 in. longer than…

A: GivenAc=2.78 in2Aal=3.28in2Ec=17013025 ksiEal=10072240…

Q: The inner surface of a 2 inch wall is 70C and its outside surface temperature is 34C. Determine the…

Q: 5.5 kg of steam at 13.35 bar with a quality of 70% transfers 5000 kJ of steam heat at a constant…

Q: Calculate the value of (100^9)^11 x[10^-7x(0.1)^4]^10. Give answer as a power of 100

A: (100^9)^11 x[10^-7x(0.1)^4]^10 Note: cab= ca×b 1ca= c-a ca×cb= ca+b ca×b= cab

Q: 14. The purpose of a crankcase pressure regulator is to D. sp 20. A devi comp and d A. ensure that…

A: Crankcase pressure regulator is a device which prevents overloading of compressor.

Q: A heat engine is operating on a Carnot cycle and has a thermal efficiency of 55 percent. The waste…

A: Given data:- heat rejected to lake = 900 kJ/min lake temperature = 60°C efficiency of carnot engine…

Q: 33. A pipe has a diameter of 20 cm at section 1 and 6 cm diameter at section 2, as shown. If h = 8…

A: Given that, Diameter of pipe at section 1, d1=20 cm,Diameter of pipe at section 2, d2=6 cm,Pressure…

Q: Q2/ Determine the forces at the pin ? joint (F) and the roller support (G) 30KN 20 KN 2m B 2m D 2m G…

Q: Calculate the total loss of the following system. Physical pipe length. 350 f IN- Flanged check…

A: Write the given data Q=500 GPM =0.03155 m3/sd=5''=0.127 m Calculate the velocity of the flow.…

Q: Determine the distance (in m) from Point O where the resultant acts

A: The resultant of the system is as shown below.

Q: Calculate the frictional power of an engine if the indicated power is 10 watts and the brake power…

Q: Find the resultant couple moment (in N.M) at point O. 500 N 300 N 200 N - m 2. 2.

Q: 3. A piston-cylinder device with a set of stops initially contains 0.6 kg of steam at 1.0 MPa and…

Q: 23.) A Carnot engine produces 61,768 hp of power while operating between temperature limits of…

Q: Fag - P - FeG Ls) = Feg = 0-625 x N COMPRESSION # MAXIMUM PRESSURE IN CG = 62-5 = 0. 625 X X = 100 N

Q: Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is…

Q: e. A steam Carnot engine operates between 350°C and 120°C. The net power output is 450 kW. Calculate…

A: INTRODUCTION : Two temperature limitations are presented in this problem; we treat one as higher…

Q: A bubble (assuming perfectly spherical) was released from a depth of 120m in the body of water by a…

A: Given data A bubble forms at a depth of 120 mAssuming the temperature remains constantm we have to…

Q: 20. A rope 4.0 m long is coiled around the axle of a wheel whose combined moment of inertia is 6 kg…

A: Givenlength of rope L=4minertia I=6 kgm2force F=50N

Q: solid sphere has a diameter of 3.81 cm and a relative density of 0.089. It floats in the water a…

Q: Q2/ Determine the forces at the pin joint (F) and the roller support (G) ? 20 KN 30KN 2m By 2m D 2m…

A: find the reactions at the support at G and F.

Q: A solid cylindrical bar conducts heat at a rate of 25 W from a hot to a cold reservoir under steady…

Q: A hollow steel shaft with an outside diameter of 41 mm and a wall thickness of 9 mm is subjected to…

Q: 3. A vertical tube 3.0m long its upper end closed and the lower end open, has its lower end…

Q: Find the loaded resultant couple moment (in KN.M) acting at point O 6 kN/m 15 kN 500 kN-m 7.5 m -…

Q: The internal bending moment at point B (in N.M) is 200 N/m A IB – 3 m – 3 m –

A: for the given loading condition To determine The internal bending moment at A

Q: The outer surface of a charcoal burner has a temperature of 300 C. The fan, near the charcoal…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A triangular plate shown in the figure is submerged in oil, specific gravity = 0.85, 4.52 m below…

Q: A 7-kg block is suspended by three identical springs, each with k = 200 N/m. The bottom of the block…

Q: Q2/ Determine the forces at the pin ? joint (F) and the roller support (G) 30KN 20 KN 2m B 2m D 2m

A: find the reaction at F and G .

Q: A triangular plate shown in the figure is submerged in oil, specific gravity = 0.8, 4.1 m below the…

Q: Consider a mass spring system with an external force F(t) = F, sin w,t. Let's assume m is the mass…

Q: A pipe has a total length of 9800 ft with diameter of 30 in., and its thickness is 5/8 in. Assume…

A: Given: The total length of pipe, L = 9800 ft The diameter of pipe, d = 30 in The thickness of pipe,…

Q: Q3/ For the figure shown below, .compute the centroid of the figure 3m 4.5m 3m

A: Answer: Tbe centroid of the figure: X = 3.9708 m , Y = 3.0387 m

Q: Q2/ Determine the forces at the pin joint (F) and the roller support (G) ? 20 KN 30KN 2m By 2m D 2m…

A: find the reactions at the support at F and G.

Q: A uniform rod AB of mass m = 6.4kg is welded at its midpoint G to a vertical Shaft GD. Knowing that…

A: Component of w along xdash axis, W'=wcos(20°)=5.7*Cos(20°)=5.36rad/s

Q: A 1.0m diameter tank having equal layers of water, oil(SG=0.80), and another liquid with SG=1.62,…

Q: A device that opens when condenser pressure rises 19. to a proper level and closes to block the flow…

Q: Good afternoon! May I know where is the part of b) 4 mpa. Thank you!

Q: The inner surface of a 2 inch wall is 70C and its outside surface temperature is 34C. Determine the…

Q: Which among the following is the conect range ốf value for the icluded angle of aVbelt? O 10° to 20°…

Q: Q2/ Determine the forces at the pin ? joint (F) and the roller support (G) 30KN 20 KN 2m By 2m D 2m…

A: find the reaction at pin F and rollar G.

Q: A Carnot engine operating between temperature limits of 10000F and 5000F produces 80,000 ft-lbf of…

A: Given Tmax = 10000 F Tmin = 5000 F W = 80, 000 ft lbf To find Heat rejected Thermal efficiency

Q: The solid steel rod (1) has an allowable shear stress of 17 ksi. The brass tube (2) has an allowable…

A: given; allowable shear stress for rod (τ)=17ksi…

Q: 38. A belt is to transmit 50 kw power to a machine. The sheave is 10 inches in diameter and turns at…

Q: Find the resultant couple moment (in N.M) at point O. 500 N 300 N 200 N m 2 m 2 m

Q: . A mass of 5 kg of saturated water vapor at 300 kPa is heated at constant pressure until the…

Q: Determine the couple moment acting on the beam. 10 kN 4 m 1m B 1 m 3. 10 kN

Q: Q1/ In the equilibrium position shown in figure below, the uniform bar (AB) has a mass of (50 kg)…

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 created or destroyed — only transformed.

Question

2/3 The velocity of a particle which moves along the s-axis
is given by v = 2 + 5t32, where t is in seconds and v is
in meters per second. Evaluate the displacement s,
velocity v, and acceleration a when t = 4 s. The parti-
cle is at the origin s = 0 when t = 0.
214 The velocity of a particle along the s-axis is given by

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

1. The position of a particle moving along the x-axis is described by x = t – 108t in where t is the time in sec. For the time interval t= 0 to t = 10 s, (a) plot the position, velocity, and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.
A particle travels along the circular curve from A to B in 1 s. The particle takes 3 s to go from A to C. r C В A Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 25 m 30 degrees 02 10 degrees a. Write position vector r B as a cartesian vector. b. Write position vector rg as a cartesian vector. c. Find the average velocity V avg as a cartesian vector.
A particle's position is given by s = (2.17 + 4.80t2 0.100t*)m where t is in seconds and s is in meters. Find - – the particles position and acceleration at the instant when the particle has zero velocity. You may use mode + equation in your calculator to find the roots.
1- A particle moves along the x axis. Its position varies with time according to the expression x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion is shown in Figure. Note that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment 1 = 1 s, and moves in the positive x direction at times /> 1 s. (A) Determine the displacement of the particle in the time intervals t=0 to 1=1 s and t= 1 s to / = 3 s. B) Calculate the average velocity during these two-time intervals C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s. x(m) Slope = 4 m/s 10 00 8 9 10 O Slope =-2 m/s 1 2 015 t(s)
2/31 A particle starts from rest at x = -2 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 2 seconds. Find the time t when the particle crosses the origin. Ans. t = 0.917 s U, m/s 3 0 0.5 1.0 t, s 1.5 2.0
The x-coordinate of a particle in curvilinear motion is given by x = 3.8t3 - 2.6t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 3.9t. If the particle has y-components y = 0 and vy = 5.2 ft/sec whent = 0, find %3D %3D the magnitudes of the velocity v and acceleration a when t = 5.3 sec. Sketch the path for the first 5.3 seconds of motion, and show the velocity and acceleration vectors for t = 5.3 sec. Answers: V = i ft/sec a = ft/sec2
2. The velocity of a particle moving along the x axis is defined by V = x3 - 4x2 + 6x where V is in m/ sec and x is in m. Compute (a) the velocity V when x = 2 m. (b) the acceleration when x = 2 m.
The y-coordinate of a particle in curvilinear motion is given by y = 9.6t3 - 7.7t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 2.3t in./sec2. If the velocity of the particle in the x-direction is 4.5 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.0 sec. Construct v and a in your solution.Answers: When t = 2.0 sec,
The y-coordinate of a particle in curvilinear motion is given by y = 10.5t3 - 9.2t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 5.7t in./sec². If the velocity of the particle in the x-direction is 9.7 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 3.8 sec. Construct vand a in your solution. Answers: When t - 3.8 sec, V= i in./sec a = i in./sec²
bläi 5 If s is the position at time t of an object moving on a straight line, find the :velocity v and the acceleration a s = (3t – 2)². v=18t-6, a=6 O v=16t-6, a=16 O v=18t-12, a=18 O non of the above
The y-coordinate of a particle in curvilinear motion is given by y = 11.6t3 - 9.1t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 7.0t in./sec2. If the velocity of the particle in the x-direction is 8.3 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 2.0 sec. Construct v and a in your solution. a. v in inch / sec b. a in inch / sec2
The velocity of a particle is given by v = 39t²-93t+47, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 3 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.5 s, V= 10.25 m/s, a = i -73.5 m/s² When t = 1.3 s, V = -7.99 m/s, a = i -42.3 When t = 2.3 s, V = 39.41 m/s, a = i -3.3 When a = 0, V = i 895.6 m/s m/s² m/s²