A motor gives gear A an angular acceleration of αA = (4t3) rad/s2, where t is in seconds. If this gear is initially turning at (ωA)0= 20 rad/s, determine the angular velocity of gear C when t = 2 s.

Q: A motor gives gear A an angular acceleration of a1 - (2 + 0.006 6) rad/s², where e is in radians. If…

A: given data as per the question the radius of larger gear = 175 mm = 0.175 m the radius of smaller…

Q: The disk is originally rotating at 8 rad/s. If it is subjected to constant angular acceleration of 6…

A: wo = 8 rad/s alpha = 6 rad/s^2 V=? Answer: 22.0000 ft/s2

Q: Q3: A motor gives gear A an angular acceleration of as = 2t³ rad/s², where t is in seconds. If this…

A: Angular velocity of gear A

Q: F16-2. The flywheel rotates with an angular velocity of w = (0.0050) rad/s, where e is in radians.…

A: Given that,

Q: If collar B is moving downwards at vg = 2.3 m/s, determine the angular speed of the gear which is…

A:

Q: A motor gives gear A an angular acceleration of aa =(2t) rad/s?, where t is in seconds. If this gear…

A: given:αa=2 t3 rad/s2ωao=20 rad/st=2 s

Q: If arm OA rotates counterclockwise with a constant angular velocity of 0 = 2rad/s, determine the…

A: Velocity: when a body is in motion, then the change in displacement of the body per unit of time is…

Q: R16-7. The disk is moving to the left such that it has an angular acceleration a = 8 rad/s? and…

A:

Q: For a short time, gear A of the automobile starter rotates with an angular acceleration of a =450t2…

A: Given :  Angular acceleration of gear A = αA = 450t2-60t rad/s2 Radius of gear A = 10mm Radius of…

Q: 16-1. The angular velocity of the disk is defined by w = (5r+ 2) rad/s, where t is in seconds.…

A: Given data: Angular velocity of the disc, ω = (5t2+2) rad/s Time, t = 0.5 s Radius, r = 0.8 m

Q: When θ = 15°, the car has a speed of 50 m/s which is increasing at 6 m/s^2. Determine the angular…

A:

Q: F16-15. If the center O of the wheel is moving with a speed of vo = 6 m/s, determine the velocity of…

A: Given data: The radius of the inner wheel, r = 0.3 m. The radius of the outer wheel, R = 0.6 m. The…

Q: The cylinder rolls without slipping on the surface of a conveyor belt which is moving at 2 m/s.…

A:

Q: 3. The cord, which is wrapped around the disk, is given an acceleration of a=(35t) m/s², where t is…

A:

Q: A motor gives gear A an angular acceleration of an = (0.250' + 0.5) rad/s², where 0 is in radians.…

A: Angular velocity of Gear A :ωdω=αdθInitial conditions:ωA=20 rad/s   at…

Q: F16-3. The flywheel rotates with an angular velocity of w = (4 01/2) rad/s, where 0 is in radians.…

A: Given data: The angular velocity of flywheel is ω = 4θ1/2rad/s. The final angular velocity is ω =…

Q: If roller A moves to the right with a constant velocity of vA = 3 m/s, determine the angular…

A:

Q: F16-4. The bucket is hoisted by the rope that wraps around a drum wheel. If the angular displacement…

A: Given data: The angular displacement of the drum wheel is; θ=0.5t3+15t rad. The time is; t=3 s. The…

Q: 16-23. If the motor turns gear A with an angular acceleration of a4 = 3 rad/s? when the angular…

A: Given data αA=3 rad/sec2ωA=60 rad/sec

Q: F16–16. If cable AB is unwound with a speed of 3 m/s, and the gear rack C has a speed of 1.5 m/s,…

A: Given data ,  The velocity of cable AB is VB= 3 m/sec, The velocity of rack C is VC=1.5 m/ sec…

Q: Q1/B: A motor gives gear A an angular acceleration of as = Ö, = (4t³)rad/s?, where t is in seconds.…

A: Given:αA=4t3 rad/s2ωA=25 rad/st=4 s

Q: 16-105. At a given instant the top B of the ladder has an acceleration ag = 2 ft/s² and a velocity…

A: Draw the velocity diagram for the above system.

Q: F16-17. Determine the angular velocity of link BC and the velocity of the piston C at the instant…

A: Let's first determine the velocity vector of point B,…

Q: The movement of point P is constrained by the curved slot in OB and by the slotted bar OA. If…

A:

Q: The question in the picture is a dynamics question. Hint: vA= 22.0 m/s, (aA)t= 12.0m/s2, (aA)n= 968…

A: Given: The angular acceleration of the disk, α = 3t2 + 12 rad/s2 The original angular velocity of…

Q: If arm OA rotates counterclockwise with a constant angular velocity of 0 = 2rad/s, determine the…

A: Solution is given below.

Q: The angular acceleration of the disk is defined by a =(3r²+ 12) rad/s², where t is in seconds. If…

A:

Q: If the gear rotates with an angular velocity of 10 rad/s, and determine the velocity of the slider…

A:

Q: If the gear A turns with and acceleration of a, = 4 rad/s² when the angular velocity is wa = 50…

A: Angular velocity is the rate of change in angular position of the object and it is denoted by the…

Q: The disk is originally rotating at w, = 8 rad/s. If it is subjected to a constant angular…

A: Given data as per the question Angular velocity = 8 rad/s Angular acceleration =6 rad/s2 applying…

Q: F16-8. The wheel rolls without slipping with an angular velocity of w = 10 rad/s. Determine the…

A: Given data: The angular velocity is, ω = 10 rad/s. In above question point A is the instantaneous…

Q: F16-11. If rod AB slides along the horizontal slot with a velocity of 60 ft/s, determine the angular…

A: Position vector directed from B to C can be written as

Q: F16-7. If roller A moves to the right with a constant velocity of va = 3 m/s, determine the angular…

A: Given Data  VA=3i m/s First, express the velocity vector into a cartesian vector form…

Q: *16-64. The pinion gear A rolls on the fixed gear rack B with an angular velocity w = 4 rad/s.…

A: Using relative velocity expression Vc⇀=VB⇀+ω×r⇀C/Bgear rack B is fixed VB⇀=0

Q: F12–33. The car has a speed of 55 ft/s. Determine the angular velocity ở of the radial line OA at…

A: Given: Velocity (V)= 55 ft/s OA= r= 400 ft To determine: The angular velocity θ˙

Q: 1. The disk is originally rotating at wo=12 rad/s. If it is subjected to a constant angular…

A:

Q: F16-22. At the instant shown, cable AB has a velocity of 3 m/s and acceleration of 1.5 m/s?, while…

A: Given data:

Q: If arm OA rotates counterclockwise with a constant angular velocity of 0 = 2rad/s, determine the…

A:

Q: A motor gives gear A an angular acceleration of a, = (5t - 2t) rad/s', where t is in seconds. If the…

A: Given data:

Q: 16-2. The angular acceleration of the disk is defined by 3f + 12 rad/s, where t is in seconds. If…

A: Write the relation between angular velocity and angular acceleration. α=dωdt Here, ω is the angular…

Q: Q1. A motor gives gear A an angular acceleration of aa = (2t3) rad/s?, where t is in seconds. If…

A:

Q: 20-30. Rod AB is attached to collars at its ends by ball-and- socket joints. If collar A has a speed…

A: Draw the free body diagram.

Q: F16-10. If crank OA rotates with an angular velocity of w = 12 rad/s, determine the velocity of…

A: Write the angular velocity of the crank, OA.   ωOA=ωk=12 rad/sk   Write the position vector, OA.…

Q: 16-73. If the slider block A is moving downward at va = 4 m/s, determine the velocity of point E at…

A: The velocity of A vA=-4j vD=vA+ωAB×rD/ArD/A=0.3-45i+0.335j=-0.24i+0.18j…

Q: 1.5 m = 30% VA = 3 m/s If roller A moves to the right with constant velocity of VA = 3 m/s,…

A:

Q: The disk is originally rotating at 8 rad/s. If it is subjected to constant angular acceleration of 6…

A:

Q: a - 12 rad/s 16-3. B The disk is originally rotating at e, = 12 rad/s If it is subjected to a…

A: Write the rotational equation of motion to calculate the angular velocity of the disk at 2 s. Here,…

Q: A motor gives gear A an angular acceleration of alpha_A=(4t3)rad/s2,where t is in seconds.If this…

A:

Q: Specifically a dynamics problem. Question and diagram in pic below.

A: The radial component of velocity of point P can be calculated as follows

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.