In the figure given below, the right-angled lever arm A-C is welded to Wheel A (radius...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
In the figure given below, the right-angled lever arm A-C is welded to Wheel A (radius of r = 200 mm) which is rolling against Wheel B (radius of r = 75 mm) without slipping. The lever arm is made from two bars each of length = 290 mm. y C x A Lbar B D Lrope Liber Cylinder aD The cylinder was originally released from rest. A constant acceleration of 500 mm/s has moved the cylinder down to the current position at time t = 6 seconds, where the cylinder is now rope = 125 mm below the centre of drum B. If the rope winds on a drum welded on Wheel A without changing the winding diameter, determine the velocity and acceleration of Point D relative to Point C at a time of t = 6 seconds. Note that all dimensions and positions shown are at the time t = 6 seconds! Answer the following questions to three significant digits. Be sure to use the correct signs in indicating the correct direction. 1. Determine the velocity of point D (top of cylinder) at the time t = 6 seconds. [1 mark] 3.000 i + 0.000 j m/s. 2. Determine the speed of point C at the time t = 6 seconds. [1 mark] |vc| = m/s 3. Determine the absolute velocity of point C at the time t = 6 seconds. [2 marks] vc = i+ j m/s. 4. Determine the relative velocity of point D with respect to C at time t = 6 seconds. [2 marks] VD/C = i+ jm/s. 5. Determine the absolute acceleration of point C at time t = 6 seconds. [2 marks] ac = jm/s. 6. Determine the relative acceleration of D with respect to C at time t = 6 seconds. [2 marks] aD/C = 2+ jm/s. In the figure given below, the right-angled lever arm A-C is welded to Wheel A (radius of r = 200 mm) which is rolling against Wheel B (radius of r = 75 mm) without slipping. The lever arm is made from two bars each of length = 290 mm. y C x A Lbar B D Lrope Liber Cylinder aD The cylinder was originally released from rest. A constant acceleration of 500 mm/s has moved the cylinder down to the current position at time t = 6 seconds, where the cylinder is now rope = 125 mm below the centre of drum B. If the rope winds on a drum welded on Wheel A without changing the winding diameter, determine the velocity and acceleration of Point D relative to Point C at a time of t = 6 seconds. Note that all dimensions and positions shown are at the time t = 6 seconds! Answer the following questions to three significant digits. Be sure to use the correct signs in indicating the correct direction. 1. Determine the velocity of point D (top of cylinder) at the time t = 6 seconds. [1 mark] 3.000 i + 0.000 j m/s. 2. Determine the speed of point C at the time t = 6 seconds. [1 mark] |vc| = m/s 3. Determine the absolute velocity of point C at the time t = 6 seconds. [2 marks] vc = i+ j m/s. 4. Determine the relative velocity of point D with respect to C at time t = 6 seconds. [2 marks] VD/C = i+ jm/s. 5. Determine the absolute acceleration of point C at time t = 6 seconds. [2 marks] ac = jm/s. 6. Determine the relative acceleration of D with respect to C at time t = 6 seconds. [2 marks] aD/C = 2+ jm/s.
Expert Answer:
Related Book For
Management And Cost Accounting
ISBN: 9781292232669
7th Edition
Authors: Alnoor Bhimani, Srikant M. Datar, Charles T. Horngren, Madhav V. Rajan
Posted Date:
Students also viewed these mechanical engineering questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
-
Calculate the heat released as 35.5 g of copper (0.0920 cal/g x C) cools from 50.0 C to 25.0 C.
-
A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft....
-
Are post hoc tests necessary following a significant ANOVA testing one independent variable with two levels (k = 2)? Explain.
-
Determine the vertical displacement of end \(B\) of the frame. Consider only bending strain energy. The frame is made using two A-36 steel W460 \(\times 68\) wide-flange sections. 4 m A -3 m- B 20 kN
-
Elonzos Department Stores is a chain of about 50 retail stores, specializing in kitchen, bath, and other household items, including many decorative and fashionable items. Recently Elonzos decided to...
-
In bucolic farm there a contagion spreading among 500 happy cows, some with spots others with- out. There are no other breeds of cows in the field. The contagion spreads through contact. Cows without...
-
Wildcat, Inc., has estimated sales (in millions) for the next four quarters as follows: Sales for the first quarter of the following year are projected at $180 million. Accounts receivable at the...
-
Consider the system given by the equation below. Using the companion matrix form, find the state-space model with y as the output. (Remember that the model includes both the state and output...
-
se the Gauss-Jordan reduction to solve the following linear system: X1 X2 + 2x3 == -4 3x1 4x2 + 3x3 -3 -3x1 15x3 = 39 1 X2 X3 000 +
-
Owen invested $ 1 0 , 0 0 0 on April 9 th into an account earning prime + 0 . 5 % . Prime was 5 % at the time. On June 1 0 th , prime rose by 0 . 2 5 % . Owen decided to withdraw his money on...
-
Divide and simplify: (-9+371)(4+3i) =
-
8 Factor the following completely: 40x + 64x. 5 8 8
-
plain chocolate is 60% carbohydrates, 35% fat and 5% other components. find the ratio of carbohydrates to fat to other components
-
During 2017, Brandon Inc purchased 2,000, $1,000, 9% bonds. The bonds mature on March 1, 2019, and pay interest on March 1 and September 1 The carrying value of the bonds at December 31, 2017 was...
-
Havel says the grocer doesnt believe what is on the sign and indeed, he says the grocers customers will barely notice it. But Havel maintains that the sign serves a specific function. How would you...
-
Mondragon SA assembles its CardioX product at its Toledo plant. Manufacturing overhead (both variable and fixed) is allocated to each CardioX unit using budgeted assembly-time hours. Budgeted...
-
Faulkenheim GmbH is a manufacturer of tool and die machinery. Faulkenheim is a vertically integrated company that is organised into two divisions. The Frankfurt Steel Division manufactures alloy...
-
WrightAir is a no-frills airline that services the Midwest. Its mission is to be the only short-haul, low-fare, high-frequency, point-to-point carrier in the Midwest. However, there are several large...
-
Reverse-current readings (in nanoamperes) are made at the location of a transistor on an integrated circuit. A sample of size 10 is taken every half hour. Since some of the units may prove to be...
-
In order to establish control charts for an extraction job, 30 samples of five measurements of the extracted ores are taken, and the results are \(\overline{\bar{x}}=25.96\) tons and \(\bar{s}=1.5\)...
-
If the sample standard deviations instead of the sample ranges are used to estimate \(\sigma\), the control limits for the resulting \(\bar{x}\) chart are given by \(\overline{\bar{x}} \pm A_{1}...
Study smarter with the SolutionInn App