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.
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 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 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 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) 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 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?...