Homework Answers
The correct answer will be (B). The basic formula for angular
acceleration (
)=∆w/∆t
so direction of
will in direction of vector w2-w1 which is
in positive x axis direction.
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7. An angular velocity vector is shown below at two different times, an earlier time t,...
Q2. The rod OB in Figure Q2 is rotating anticlockwise around O with an angular velocity of 2trad/s. Collar A moves along the rod with speed t sin(2t) m/s 8Orad and r-1m when t 0 s. a) Calculate the m...
Q2. The rod OB in Figure Q2 is rotating anticlockwise around O with an angular velocity of 2trad/s. Collar A moves along the rod with speed t sin(2t) m/s 8Orad and r-1m when t 0 s. a) Calculate the magnitude of the velocity vector of the collar A relative to o at t 1s. 5 Marks] b) Calculate the acceleration vector of the collar A relative to O at t-1s. [6 Marks] c) Determine the Cartesian velocity vector of the...
At t = 0, a flywheel has an angular velocity of 3.9 rad/s, an angular acceleration...
At t = 0, a flywheel has an angular velocity of 3.9 rad/s, an angular acceleration of -0.44 rad/s2, and a reference line at θ0 = 0. (a) Through what maximum angle θmax will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = θmax/4? At what (d) negative time and (e) positive time will the reference line be at θ = -9.9 rad?
20) The velocity vectors of a truck are shown below for two instances in time, if...
20) The velocity vectors of a truck are shown below for two instances in time, if the magnitude of the truck's velocity is a constant 20 m/s, which acceleration vector in figure 2 best represents the acceleration of the truck? (Be careful Canvas my not have the same order for the answers) Figure 2 B v $ Vis 7 to Page 6 of 6
The reel of rope has the angular velocity ω = 5 rad/s and angular acceleration α = 7 rad/s2 (Figure 1)
The reel of rope has the angular velocity ω = 5 rad/s and angular acceleration α = 7 rad/s2 (Figure 1) Part ADetermine the magnitude of the velocity of point A at the instant shownPart B Determine the direction of the velocity of point A at the instant shown. Part C Determine the magnitude of the acceleration of point A at the instant shown. Part D Determine the direction of the acceleration of point A at the instant shown.
Two carts are set in motion at t 0 on a frictionless track in a physics...
Two carts are set in motion at t 0 on a frictionless track in a physics laboratory. The first cart is launched from an initial position of x - 17.5 cm with an initial velocity of 11.0i cm/s and a constant acceleration of -3.007 cm/s2 The second cart is launched from x- 20.1 cm with a constant velocity of 5.oai cm/s (a) Wha are the times for which the two carts have equal speeds? earlier tirme later time Your response...
An object's motion is represented by the x vs. t graph shown below Hint: Velocity is...
An object's motion is represented by the x vs. t graph shown below Hint: Velocity is the slope of x vs. t graph, and acceleration is slope of v vs. t graph. 130 points: 5 points each r (s) t (a) a. Draw the corresponding v vs. t graph on the axes provided. b. Draw the corresponding a vs. t graph on the axes provided. c. At what times is the position a maximum (most positive)? At those times, is...
QUESTION 1 A slider crank linkage is shown in figure 3 below. The angular velocity and...
QUESTION 1 A slider crank linkage is shown in figure 3 below. The angular velocity and the angular acceleration of the crank are 10 rad/s and 40 rad/s2 respectively. Link AB is 50 mm and link BC is 95 mm. A point D on link BC is 0.2 times BC from point B Determine the following; 1.1 velocity of the piston, 1.2 angular velocity of links BC 1.3 acceleration of the piston 1.4 angular acceleration of link BC 1.5 acceleration...
0 A particle moves In the zy plane with constant a velocity vector at time t...
0 A particle moves In the zy plane with constant a velocity vector at time t 0 s is e-8.00m/eェ-7,50m sy. Find the magnitude of the velocity vector at time t-4.30 s. At time t = O s, the position vector for the particle is r 7.20m Z + 8.40my. The acceleration is given by the vector ā 8.40m/82z + 8.00 n/-, The Tries 0/6 Part B What is the angle between the velocity vector and the positive x-axis at...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the part...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Two carts are riding on an air track as shown in the figure. At time t...
Two carts are riding on an air track as shown in the figure. At time t = 0 s, cart B is at the origin and traveling in the negative x direction with velocity v_B1. At that time, cart A is at the position shown and is at rest. Car B has twice the mass of cart A. The carts "bump" into each other but do not stick. Which physical parameter can be described by each of the following graphs?...
Q2. The rod OB in Figure Q2 is rotating anticlockwise around O with an angular velocity of 2trad/s. Collar A moves along the rod with speed t sin(2t) m/s 8Orad and r-1m when t 0 s. a) Calculate the magnitude of the velocity vector of the collar A relative to o at t 1s. 5 Marks] b) Calculate the acceleration vector of the collar A relative to O at t-1s. [6 Marks] c) Determine the Cartesian velocity vector of the...
20) The velocity vectors of a truck are shown below for two instances in time, if the magnitude of the truck's velocity is a constant 20 m/s, which acceleration vector in figure 2 best represents the acceleration of the truck? (Be careful Canvas my not have the same order for the answers) Figure 2 B v $ Vis 7 to Page 6 of 6
Two carts are set in motion at t 0 on a frictionless track in a physics laboratory. The first cart is launched from an initial position of x - 17.5 cm with an initial velocity of 11.0i cm/s and a constant acceleration of -3.007 cm/s2 The second cart is launched from x- 20.1 cm with a constant velocity of 5.oai cm/s (a) Wha are the times for which the two carts have equal speeds? earlier tirme later time Your response...
An object's motion is represented by the x vs. t graph shown below Hint: Velocity is the slope of x vs. t graph, and acceleration is slope of v vs. t graph. 130 points: 5 points each r (s) t (a) a. Draw the corresponding v vs. t graph on the axes provided. b. Draw the corresponding a vs. t graph on the axes provided. c. At what times is the position a maximum (most positive)? At those times, is...
QUESTION 1 A slider crank linkage is shown in figure 3 below. The angular velocity and the angular acceleration of the crank are 10 rad/s and 40 rad/s2 respectively. Link AB is 50 mm and link BC is 95 mm. A point D on link BC is 0.2 times BC from point B Determine the following; 1.1 velocity of the piston, 1.2 angular velocity of links BC 1.3 acceleration of the piston 1.4 angular acceleration of link BC 1.5 acceleration...
0 A particle moves In the zy plane with constant a velocity vector at time t 0 s is e-8.00m/eェ-7,50m sy. Find the magnitude of the velocity vector at time t-4.30 s. At time t = O s, the position vector for the particle is r 7.20m Z + 8.40my. The acceleration is given by the vector ā 8.40m/82z + 8.00 n/-, The Tries 0/6 Part B What is the angle between the velocity vector and the positive x-axis at...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Two carts are riding on an air track as shown in the figure. At time t = 0 s, cart B is at the origin and traveling in the negative x direction with velocity v_B1. At that time, cart A is at the position shown and is at rest. Car B has twice the mass of cart A. The carts "bump" into each other but do not stick. Which physical parameter can be described by each of the following graphs?...
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