The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by θ = 0.66t - 0.048t2, where θ is in radians and t is in seconds. The slider is at r = 1.68 m when t = 0 and thereafter is drawn inward at the constant rate of 0.17 m/s. Determine the velocity vand acceleration a of the slider when t = 2.9 s. Express your answers in the x-y coordinate system.
So I have tried solving this a few different ways, but for some reason I am still getting the j values incorrect. I know that the acceleration j value should be negative but I wasn't able to figure out where I was going wrong. The velocity j value I believe is supposed to be positive, but also I couldn't figure out where I was going wrong. Just an explanation of where I might be missing something would be helpful.
EDIT: Got the correct answer myself after working it again, question closed.
The slider P can be moved inward by means of the string S, while the slotted...
The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by θ = 0.80t - 0.044t2, where θ is in radians and t is in seconds. The slider is at r = 1.47 m when t = 0 and thereafter is drawn inward at the constant rate of 0.13 m/s. Determine the velocity v and acceleration a of the slider when...
The slotted arm below is rotated radially in the horizontal plane with the rotation governed by 8-0.2t + 0.02t3 where θ is in radians, t is in seconds. Also, the power screw in the arm controls the distance r from 0 according tor 0.2+0.04t2, r is in meters and t is in seconds. The power screw can be treated as a cord (cable) and the Mass of the slider is 2kg. Determine: a) Acceleration of the slider B, for the...
i know that the solution is v=18.4 inch/s a=143 inch/s^2 but i dont where these solution come from Problem 5 (20 points) By rotating the arm, the inclined slider moves along the direction shown, always making a fixed angle θ with the horizontal. Assume θ is 40 degrees, the offset D is 1 inch, and the arm is rotating clockwise at a constant rate of 10 radians per second, evaluate the velocity and acceleration of the slider for the instant...
The slotted link is pinned at O, and as a result of the constant angular velocity ??= 3 rad / s it drives the peg P for a short distance along the spiral guide r= ( 0.4 ? ) m, where ? is in radians. Part A) Determine the radial component of the velocity of P at the instant ?=? / 3rad. Part B) Determine the transverse component of the velocity and acceleration of P at the instant ?=? /...
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 7.40 m and, in starting, rotates according to θ = 0.190t2, where t is in seconds and θ is in radians. When t = 3.60 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 11.0 m and, in starting, rotates according to θ = 0.120t2, where t is in seconds and θ is in radians. When t = 2.90 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?
Problem 12.167 13 of 14> Part A The slotted link is pinned at O, and as a result of the constant angular velocity θ-3 rad/s it drives the peg P for a short distance along the spiral guide r (0.49) m, where θ is in radians (Figure 1) Determine the radial component of the velocity of P at the instant θ = π/3 rad. Express your answer to three significant figures and include the appropriate units. 四? | ur =...
QUESTION 1 The slider block C moves at 8 m/s down the inclined groove. Determine the angular velocities of links AB and BC.at the instant shown QUESTION 3 At the instant shown. θ-: 60p. and rod AB is subjected to a deceleration of 16 m/s when the velocity is 10 m s. Determine the angular velocity and angular acceleration of link CD at this instant QUESTION 2 The shaper mechanism is designed to give a slow cutting stroke and a...
A test car starts from rest on a horizontal circular track of 80 m radius and increase its speed at a uniform rate to reach 100 Km/h in 10 seconds. Determine the magnitude of total acceleration of the car 8 seconds after the start . Rotation of the radially slotted arm is governed by 0-0.21 + 0.02r, where 0 is in radians and t is in seconds. Simultaneously, the power screw in the arm engages the slider B and controls...
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9 m and, in starting, rotates according to θ = 0.30t2, where t is in seconds and θ is in radians. (a) When t = 11.0 s, what is the magnitude of the astronaut's angular velocity? rad/s (b) When t = 11.0 s, what is the magnitude of the astronaut's linear speed? m/s (c) When t = 11.0 s, what is the magnitude of the astronaut's...