An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 4.0 m/s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.07 s and (b) at time t = 0.14 s. At point F, the speed of the pinball has decreased by 16% from the initial value, and this decrease may be assumed to occur uniformly over the total distance traveled by the pinball. Use the values r = 130 mm and 0 = 67°.

Q6. As shown in the image below, two objects, A and B, are connected using the cable and pulley system. (The cable and pulley system is friction-less and weight-less.) If at this moment the acceleration of object Bis downward 2.3 m/s², determine the acceleration of object A (in m/s²2) at this moment. In this problem, downward motion is considered positive, and in your answer, negative sign must be included if the motion of A is upward. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. A B VB

3. The hydraulic cylinder C extends and causes the collar A to move and accelerate to the left. 3) If the length /= 1.5 ft, the angle = 33°, the linear velocity of collar A, VÀ is 5.5 ft/s, and the linear acceleration of collar A, a is 3.1 ft/s², determine the magnitude of the angular velocity, WAB, of rod AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. X Your Answer: Answer k Ө units VA as ←

2. A car starts from rest and accelerates uniformly to a speed of 60 km/hour over a distance of 510 meters. (i) Calculate the acceleration and time taken. (ii) If a further acceleration raises the speed to 94 km/hour in 10 seconds, find the acceleration and further distance moved. (iii) The brakes are now applied and the car comes to rest under uniform retardation in 5 seconds. Find the retardation of the car and the distance travelled during this retardation.

Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A plastic film moves over two drums. During a 5.25-s interval the speed of the tape is increased uniformly from vo= 2 ft/s to v1= 4 ft/s. The tape does not slip on the drums. Vo Vo 9 in. 15 in. Determine the angular acceleration of drum B. (You must provide an answer before moving to the next part.) The angular acceleration of drum Bis Trad/s2 O.

Subject: Dynamics of rigid bodies. Need answer in A,B, and C

2. A highway ramp is three-quarters of a circle with a radius of 50m. A car enters the ramp at Point A with a speed of 5 m/s. a. What is the constant tangential acceleration, a_T, so that the car will reach 15 m/s just as it gets to the end of the ramp? b. What is the total acceleration of the car at Point B? view from the top gravity into the page - A VA = 5 m/s aT = ? VB = 15 m/s B R = 50 m

Dynamics ME201 Homework

A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 2.4t2 - 6.9t and y = 3.2t2 - t/2.2. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 2.9 s. Answers: When t = 2.9 s, V = i mm/s, e, = a = i mm/s?, O = i

The graph below shows the acceleration of a hydraulic elevator in a four story school building as a function of time:- The graph begins at t = 0 s when the elevator door closed on the second floor and ends at t = 20 s when the door opened on a different floor. Assume that the positive directions for displacement, velocity, and acceleration are upward. Determine… the maximum speed of the elevator the duration of the brief jerk experienced by the elevator centered on 17.5 s  Sketch the corresponding graphs of… velocity-time position-time Determine… the most likely floor on which the elevator stopped