The position vector of a point which moves in the x-y plane is given by: r...
The position vector of a point which moves in the x-y plane is
given by:
r = (- 0.2 t4 + 1.8 t3 + 1.1 t2) i + (- 0.4 t4 - 1.2 t) j
where r is in meters and t is in seconds. Determine the angle
between the velocity v and the acceleration a when t = 1.7 sec.
Homework Answers
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The position vector of a point which moves in the x-y plane is
given by:
r...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the b...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
A particle moves in the x-y plane such that its position is defined by r (2t...
A particle moves in the x-y plane such that its position is defined by r (2t i+ 4tj) ft, where t is in seconds. Determine the radial and transverse components of the particle's velocity and acceleration whent-2 s.
2) A particle moves in the x-y plane. Known information about the particle’s motion is given...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....
y/yi PROBLEM 11.93 The damped motion of a vibrating particle is defined by the position vector...
y/yi PROBLEM 11.93 The damped motion of a vibrating particle is defined by the position vector r +)+2co2,where r is expressed in seconds. For 30 mm and y,-20 min, determine the position, the velocity, and the acceleration of the particle when (a) t0, (b) t-1.5 s. 1.0 0.5 0 0.4 06 t 0.2 -0.5
The vector position of a particle varies in time according to the expression r = 8.20...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The position r of a particle moving in an xy plane is given by r =...
The position r of a particle moving in an xy plane is given by r = (4.00t^3 - 4.00t) i + (4.00 - 1.00t^4) j with r in meters and t in seconds. In unit-vector notation, calculate (a) r, (b) V, and (c) a for t = 2.00 s, (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the...
A particle moves in the xy plane with constant acceleration. At time t=0 s, the position...
A particle moves in the xy plane with constant acceleration. At time t=0 s, the position vector for the particle is r=9.70mx^+4.30my^. The acceleration is given by the vector a=8.00m/s^2x^+3.90m/s^2y^. The velocity vector at time t=o s is v=2.80m/sx^ - 7.00m/sy^. What is the magnitude of the position vector at time t= 2.10 s? What is the angle between the position vector and the positive x-axis at time t= 2.10 s?
how to solve this question? Thank you. The position of a particle is expression as r...
how to solve this question?
Thank you.
The position of a particle is expression as r = t3 i + 14 j + t2 k, where r is in meters and t in seconds. a) Find the scalar tangential components of the acceleration at t =1s. b) Find the scalar normal components of the acceleration at t = 15.
The position ModifyingAbove r With right-arrow of a particle moving in an xy plane is given...
The position ModifyingAbove r With right-arrow of a particle
moving in an xy plane is given by ModifyingAbove r With right-arrow
equals left-parenthesis 4 t cubed minus 3 t right-parenthesis
ModifyingAbove i With caret plus left-parenthesis 6 minus 2 t
Superscript 4 Baseline right-parenthesis ModifyingAbove j With
caret with ModifyingAbove r With right-arrow in meters and t in
seconds.
In unit-vector notation, calculate
(a)ModifyingAbove r With right-arrow,
(b)v Overscript right-arrow EndScripts, and
(c)a Overscript right-arrow EndScripts for t = 2...
please i need help asap Problem 1 The acceleration of a particle moving only on a...
please i need help asap Problem 1 The acceleration of a particle moving only on a horizontal xy plane is given by a=3ti+4tj, where a is in meters per seconds squared and t is in seconds, at t=0, the position vector r=(20.0m)i+(40.0m)j locates the particles, which then has the velocity vector v=(5.00m/s)i+(2.00m's)j. at t=4.00s, what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the x axis?...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
A particle moves in the x-y plane such that its position is defined by r (2t i+ 4tj) ft, where t is in seconds. Determine the radial and transverse components of the particle's velocity and acceleration whent-2 s.
y/yi PROBLEM 11.93 The damped motion of a vibrating particle is defined by the position vector r +)+2co2,where r is expressed in seconds. For 30 mm and y,-20 min, determine the position, the velocity, and the acceleration of the particle when (a) t0, (b) t-1.5 s. 1.0 0.5 0 0.4 06 t 0.2 -0.5
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The position r of a particle moving in an xy plane is given by r = (4.00t^3 - 4.00t) i + (4.00 - 1.00t^4) j with r in meters and t in seconds. In unit-vector notation, calculate (a) r, (b) V, and (c) a for t = 2.00 s, (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the...
how to solve this question?
Thank you.
The position of a particle is expression as r = t3 i + 14 j + t2 k, where r is in meters and t in seconds. a) Find the scalar tangential components of the acceleration at t =1s. b) Find the scalar normal components of the acceleration at t = 15.
The position ModifyingAbove r With right-arrow of a particle
moving in an xy plane is given by ModifyingAbove r With right-arrow
equals left-parenthesis 4 t cubed minus 3 t right-parenthesis
ModifyingAbove i With caret plus left-parenthesis 6 minus 2 t
Superscript 4 Baseline right-parenthesis ModifyingAbove j With
caret with ModifyingAbove r With right-arrow in meters and t in
seconds.
In unit-vector notation, calculate
(a)ModifyingAbove r With right-arrow,
(b)v Overscript right-arrow EndScripts, and
(c)a Overscript right-arrow EndScripts for t = 2...
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