PROBLEM 11.3 The vertical motion of mass A is defined by the relation x=10 sin 2t +15 cos 2t +100, where x and t are expressed in mm and seconds, respectively. Determine (a) the position, velocity and acceleration of 4 when t=1 s, (b) the maximum velocity and acceleration of A.

PROBLEM 11.3 The vertical motion of mass A is defined by the relation x=10 sin 2t +15 cos 2t +100, where x and t are expressed in mm and seconds, respectively. Determine (a) the position, velocity and acceleration of 4 when t=1 s, (b) the maximum velocity and acceleration of A.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A mass weighing 20 lb stretches a spring 4in. The mass is attached to a viscous damper with damping constant 3 lb ·s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 2 in/s. Determine the position u of the mass at any time t. Use 32 ft/s“ as the acceleration due to gravity. Pay close attention to the units. u(t) = in
5. A simple pendulum at the UCR department of physics and astronomy has a length of 20 m, and the acceleration due to gravity at this location is measured to be 9.803 m/s². Calculate the period of the pendulum.
I Review | Constants Calculate the work done on the block by the spring as the block falls an arbitrary distance z. Express your answer in terms of the variables a, m, x, and the acceleration due to gravity g, if needed. Consider a hanging spring of negligible mass that does not obey Hooke's law. When the spring is pulled downward by a distance r, the spring exerts an upward force of magnitude ar, where a is a positive constant. Initially the hanging spring is relaxed (not extended). We then attach a block of mass m to the spring and release the block. The block stretches the spring as it falls (Figure 1). (a) How fast is the block moving when it has fallen a distance z, ? (b) At what rate does the spring do work on the block at this point? (c) Find • View Available Hint(s) the maximum distance rz that the spring stretches. (d) Will the block remain at the point found in part (c)? W. Vspring = Submit Part D Calculate the work done on the block by any other forces as the block falls an…
3. The normal component of acceleration represents a. the time rate of change in the magnitude of the velocity b. the time rate of change in the direction of the velocity c. magnitude of the velocity d. directions of the total acceleration
● A 5 rad/s .2 rad/s² 3 ft X 3 rad/s -2 rad/s² B 2 ft 30⁰ с The robotic arm shown above has a fixed orange base at A and fixed length members AB and BC. Motors at A and B allow for rotational motion at the joints. Based on the angular velocities and accelerations shown at each joint (described with respect to the fixed frame): o Determine the velocity at the end effector at C o Determine the acceleration at the end effector at C
If the rope on the wall suddenly snaps, what will be the acceleration vector and velocity vectors of these masses at 1=1s after the break? N.B.: the strings are assumed to be massless, flexible and inelastic.
Question 7 A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 6.1t2 - 6.1t and y = 6.5t2 - t3/ 2.5. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 3.5 s.Answers: When t = 3.5 s,
Question 2: For a 1-kg ball being pushed by a rod in the vertical path with equation r = 0.50, where is in radian and r is in meter. At the instant shown, if it has = 2 rad/s and = 4 rad/s², determine its acceleration. (a) 1.14 m/s² (b) 7.05 m/s² (c) 7.14 m/s²2 (d) 7.23 m/s² r II π 2
10. The angular momentum of a particle about point A in a reference frame is defined as r dot mv where r is the radius vector from point A to the particle position, m is the particle mass, and v is the particle velocity. True False
K=200 N m www A 10 kg MK = 0.1 B боку B 1 System starts from rest. Determine the velocity of" after B has fallen down 0.5m 0.5m *System starts from rest* Determine the Velocity of "A" after B has fallen down 0.5m. (Spring Constant 'K' =200N/m) (Friction Coefficient =0.1) (Mass of A=10kg) (Mass of B= 60kg) "1 "A"
1.8. Point A moves with a constant velocity vo. It is connected to a particle of mass m by a linear damper whose tensile force is F = c(vo – x). (a) Assuming the initial conditions x(0) = 0, i(0) = 0, solve for the particle velocity i as a function of time. (b) Find the work W done on the system by the force F acting on A. (c) Show that the work W approaches twice the value of the kinetic energy T as time t approaches infinity. Problems y=vot Figure P 1.8.
The angle of rotation of a body is given by the equation, e= 3t3 + 4t2-6t+9, where eis expressed in radians and t in seconds, Find (i) Angular velocity and (ii) Angular acceleration of the body when t = 0 and t = 4 sec.