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°.

Qu. 3 The automobile is originally at rest s = 0. If it then starts to increase its speed at i = (0.05t2)ft/s?, where t is in seconds, determine the magnitudes of its velocity and acceleration at s = 550 ft. please show all work from dynamics step by step formula

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