1. Write down the derivation of formulas and describe each variable for each of the following discussed topics below. - Continuous Motion

Q: 5. A golf ball is driven with the initial velocity of 161fps upward at 30' to the horizontal from an…

A: The initial speed is V0=161 fps. The angle is θ=30°. Consider the following figure.

Q: 3. Find the centroid of the area in first quadrant bounded by the curve y² =4ax and latus rectum. dx…

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Q: 3. Passengers in the jet transport A flying east at a speed of 800 km/h observe a second jet plane B…

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Q: 6. A particle has an initial velocity of 100 fps up to the right at 30 with the horizontal. The…

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Q: For the beam and point loadings shown below: Draw the shear force and bending moment diagrams for…

A: The double over hanging beam is given asTo find:-Support reactionsShear force and bending moment…

Q: 2. Determine the following: a. Shear force 12 ft from point A. b. Shear force 6 ft from point D. c.…

A: Given Data: To Determine: Shear force 12 ft from point A Shear force 6 ft from point D Maximum…

Q: 4. The boy has a weight of 60 lb. At the instant e= 60, the boy's center of mass G experiences a…

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Q: 2. A golf ball is driven with the initial velocity of 160fps upward at 40° to the horizontal from an…

A: Given velocity = 160fps angle = 40° elevation = 65ft

Q: A bomber, flying horizontally at a height of 300 m with a velocity of 260 km.p.h., has aimed to hit…

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Q: A train with a top speed of 68.35 ft/s cannot accelerate of decelerate higher than 47.25 in/s². 3.…

A: The values given in the question are as follows Top speed(vmax)=68.35 ft/sec Acceleration(a)=47.25…

Q: A tensile stress is to be applied along the axis of a cylindrical brass rod that has a diameter of…

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Q: A train with a top speed of 68.35 ft/s cannot accelerate of decelerate higher than 47.25 in/s². 3.…

A: Given that, top speed of train V = 68.35 ft/s maximum acceleration/ deceleration, a = 47.25 in/s2

Q: For the given motion curve below, find the total distance traveled after 20 seconds. Total distance…

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Q: The simply supported beam ABC in Fig. (a) carries a concentrated load of 300 N as shown. Det…

A: Calculation of Reactions: ∑M at A =0RC×3-200×2=0RC=4003=133.33kN∑V= 0RA+RC=200RA=200-133.33=66.67kN…

Q: 1. A projectile is fired with an initial velocity of Vi fps upward at an angle of e" with the…

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Q: 2. A ball is thrown so that it just clears a 25ft wall 100ft away. If it left the hand 5ft above the…

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Q: At a certain instant, the velocity of cylinder B is 2 ft/s down and its acceleration is 0.5 ft/s2…

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Q: A tension member consists of a 50-mm-diameter brass (E = 100 GPa) bar connected to a 32-mm-diameter…

A: Given data : Tensile load (P)=50 KNBrass Diameter of brass (dB)=50 mmLength (LB)=1.5 mModulus of…

Q: 1. A particle traveling in a straight line starts from rest it has an acceleration of a=B³t2+ct, if…

A: Step 1

Q: The acceleratiọn of a particle traveling along a straight line is a = S7 m/s2, where s is in meters.…

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Q: O. No 8: The section shown in Figure Q. No.8 is applied by a shear force V 1000 lb acting vertically…

A: Using symmetry, V1=V3 andV2=V4 V=100 lbt= 0.5 inb1= 6 inb2= 4 ind = 8 in

Q: A solid steel shaft 4 m long is stressed to 70 MPa when twisted through 3°. (a) Given that G = 83…

A: Torsion equation, TJ = ζr = GθLζr = GθL70r=83×103×3×π1804   r =64.46 mm The diameter of the shaft…

Q: A golf ball is driven with the initial velocity of 161fps upward at 30° to the horizontal from an…

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Q: The 460-kg satellite S traveling at 7 km/s is hit by a 1.43-kg meteor M traveling at 12.25 km/s. The…

A: Momentum equation in…

Q: Given the unit vectors A-ti-2j-tk, B-zi-k. and C-rj-2ak. Determine (a)(A x B) C. (b)(A x B) x (B x…

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Q: 2. A cage for transporting workers and supplies on a construction site is hoisted by a crane as…

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Q: Problem 654 For the beam in Fig. P-654, find the value of EIS at 2 ft from R2. (Hint: Draw the…

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Q: Q.5) A bar of 20 mm diameter is tested in tension. When a load of 38 kN was applied extension of…

A: Given data : Inital diameter (d)=20 mmLoad (P)=38 KNExtension in length (δL)=0.12 mmLength (L)=200…

Q: A mortar is fired with an initial velocity of 320 ft/s along a horizontal plane. Use g = 32 ft/s?.…

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Q: Q04 A rod is subjected to an uniaxial load within linear elastic limit. When the change in the…

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Q: 1. Write down the derivation of fo and describe each variable for the following discussed topics

A: a) Curvilinear motion: Velocity = ∆r/∆t =Radial distance/time increment Acceleration = d/dt…

Q: The solid aluminum shaft ABCD carries the three torques shown. (a) Determine the smallest safe…

A: Allowable shear stres=15 ksiG=4x106 psismallest diameter=?angle of rotation=?Net B= 4000-1600 =2400…

Q: A rectangular beam 150 mm wide and 200 mm deep, is simply supported on a span of 6 m. Two loads of 5…

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Q: The stepped steel shaft carries the torque T. maximum T. Determine the allowable magnitude of T if…

A: Here there are two limiting cases. one is for the angle of twist and one is for torsional shear…

Q: P6.19 A compound shaft drives several pulleys, as shown in Figure P6.19. Segments (1) and (2) of the…

A: Given -

Q: 3. The simply supported beam in the figure has a rectangular cross section 120 mm wide and 200 mm…

A: Draw the shear force and bending moment diagram of the given beam:

Q: The rectangular components of acceleration for a particle are ax=3t and ay=30-10t where a is in fps.…

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