Find the sum of each set of forces acting at the same point

Assignment Help Mechanical Engineering
Reference no: EM131933245

Question 1
A ball of mass 0.4kg is thrown at 7.9m/s. What is the initial momentum of the ball?

Question 2
A 0.05kg bullet is fired at a muzzle velocity of 539m/s from a gun with mass 4.33kg and barrel length 0.56m. What is the impulse exerted on the bullet while it is in the barrel?

Question 3
What force is required to slow a 1,416kg car traveling 24m/s to 6.76m/s within 3.96s?

Question 4
A 0.09kg disk traveling at 3m/s to the right collides with a 0.074kg disk traveling 9.38m/s to the left. After the collision, the heavier disk is traveling 5.31 m/s to the left. What is the velocity of the lighter disk after the collision?

Question 5
One cart of mass 17kg is moving 5.86m/s to the right on a frictionless track and collides with a cart of mass 3kg. The final velocity of the carts that become stuck together after collision is 3.01 m/s to the right. Find the velocity of the second cart before the collision.

Question 6
Find the sum of each set of forces acting at the same point in a straight line.

701N (right); 819N (left); 136N (left); 457N (left)

Note: Your answer should inicate the direction with a + or- sign.

Question 7
What is the magnitude of the resultant when adding F1 and F2?

F1 = 700N down

F2 = 1250N right

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Question 8
What is the angle of the resultant when adding Fl and F2? Give the angle in standard position.

F1 = 700N down

F2 = 1250 right

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Question 9
Find the magnitude of the force F that will produce equilibrium in the following diagram.

1,100N right, 300N left, 275N left, 150N left

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Question 10
Find the magnitude of F1 that produces equilibrium in the force diagram. C=825N at 52°

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Question 11
What is the torque if a perpendicular force of 97N is applied on a torque arm of 0.487m?

Question 12
A torque wrench reads 12N*m. If its length is 0.21 m, what force is being applied to the handle?

Question 13
If 12N*m of torque is applied to a bolt with an applied force of 34N, what is the length of the wrench?

Question 14
Find the force F that will produce equilibrium for each force diagram. (Forces: 150N left; 37.5N right; 87.5N

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Question 15
A 11,000N truck is 12m from one end of a 30m bridge. A 8,000N car is 24m from the same end. What is the magnitude of the weight, F1, the bridge must support?

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Question 16
Juan and Pablo carry a load weighing 600N on a pole between them. If the pole is 6m long, the load is 2m from Pablo and the weight of the 200N pole is considered, what force does Juan support? (Assume the center of gravity is located at 3m from either end.) A force diagram has been provided to help you.

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Question 17
Juan and Pablo carry a load weighing 600N on a pole between them. If the pole is 6m long, the load is 2m from Pablo and the weight of the 200N pole is considered, 0 what force does Pablo support? (Assume the center of gravity is located at 3m from either end.) A force diagram has been provided to help you.

1618_16.jpg

Question 18
Given that F=ma, and the following data, calculate the work done.
m =16.1 kg a= 9.8m/s2 s= 15.5m W= ?

Question 19
A man pulls a sled a distance of 23.61 m. The rope attached to the sled makes and angle of 27.2° with the ground. The man exerts a force of 789N on the rope. How much work does the man do in pulling the sled?

Question 20

Given the following data, calculate the power produced.

W= 76.3J
t= 37.9s
P= ?

Question 21
A 42kg welder is to be raised 14.6m in 10.9s. How much power is needed for the job?

Question 22
A bullet with mass 0.011kg travels 406m/s. Find its kinetic energy.

Question 23
A crate of mass 455kg is raised to a height 17m above the floor. What potential energy has it acquired with respect to the floor?

Question 24
A sky diver jumps out of a plane at a height of 19,452m. If her parachute does not open until she reaches 4,110m, what is her velocity at that point if air resistance is disregarded?

Question 25
Find the maximum height reached by a ball thrown upward at a velocity of 87.3m/s.

Question 26
A wheel of radius 0.253m turns at 4.4rev/s. Find its angular displacement (in rev) in 11.7s.

Question 27
A belt is placed around a pulley that is 0.4m in diameter and rotating at 276rpm. Find the linear speed (in m/s) of the belt. (Assume no belt slippage on the pulley.)

Question 28
A truck tire rotates at an initial angular speed of 21.5rad/s. Ths driver steadily accelerates, and after 3.5s, the tire's angular speed is 28rad/s. What is the tire's angular acceleration during its linear acceleration?

Question 29
Given the following centripetal force data, calculate the radius of the objects curve.
F = 596N
v = 1.85m/s
m = 67.8kg

Question 30
Given the following data, calculate the centripetal force.

v = 17.5m/s
m = 39kg
r = 3.85m

Question 31
Given the following centripetal force data, calculate the velocity of the body.
F = 99.8N m = 43.2kg r=15.5m

Question 32
Given the following data for a rotating system, calculate the power produced.

τ = 685N*m

ω = 66.1/s

Question 33
Given the following data for a rotating system, calculate the angular speed.

P = 660W

τ = 559N*m

ω = ?

Question 34
A drill develops 679.715W of power at 2,239rpm. What torque is applied to the drill bit?

Question 35
Given the following gear ratio data, fill in the blank:

Number of teeth  RPM
Driver Driven Driver Driven
36 21 ? 233

Question 36
Find the speed in rpm of gear D in the following gear train. Assume gears A and C are driver gears while gears B, and D are driven.

Gear A Gear B Gear C Gear D
RPM Teeth Teeth Teeth Teeth RPM
720 30 45 20 48

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Question 37
If pulley A rotates counterclockwise, what direction does pulley F rotate?

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Question 38
The frictional force of the mower shown in the figure below is 18.11N. What is the magnitude of the force that the man must exert along the handle to push it at a constant velocity? (The mower handle makes an angle of 43°.) A force diagram has been provided to you here to help you.

1924_38.jpg

Question 39
A window washers scaffold 8m long and weighing 250N is suspended from each end. One washer weighs 625N and is 2m from one end. The other washer is 3m from the other end. If the force supported by the end near the first washer is 850N, how much does the second washer weigh? (Assume the center of gravity is at 4m from either end.) A force diagram has been provided to help you.

2156_39.png

Reference no: EM131933245

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