Uphill Without Slipping A cart of mass M = 46.5 kg is getting ready to carry a crate of mass m= 13.6 kg up a slope of angle #27 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The coefficients of static and kinetic friction between the crate and the cart are 0.65 and 0.5, respectively. The system is subject to the regular force of gravity (=9.80665 m/s²). The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11-5 N/s and the cart accelerates up the slope. (a) Determine the work done by the tension between t= 0 and the moment the crate starts sliding toward the back of the cart. W= 43 (b) Determine the change in the kinetic energy of the crate between t=0 and the moment it starts sliding toward the back of the cart. AK =

Uphill Without Slipping A cart of mass M = 46.5 kg is getting ready to carry a crate of mass m= 13.6 kg up a slope of angle #27 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The coefficients of static and kinetic friction between the crate and the cart are 0.65 and 0.5, respectively. The system is subject to the regular force of gravity (=9.80665 m/s²). The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11-5 N/s and the cart accelerates up the slope. (a) Determine the work done by the tension between t= 0 and the moment the crate starts sliding toward the back of the cart. W= 43 (b) Determine the change in the kinetic energy of the crate between t=0 and the moment it starts sliding toward the back of the cart. AK =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

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Uphill Without Slipping
A cart of mass M = 46.5 kg is getting ready to carry a crate of mass m = 13.6 kg up a slope of angle = 27 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The
coefficients of static and kinetic friction between the crate and the cart are 0.65 and 0.5, respectively. The system is subject to the regular force of gravity (g = 9.80665 m/s²).
The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11.5 N/s and the cart accelerates up the slope.
(a) Determine the work done by the tension between t = 0 and the moment the crate starts sliding toward the back of the cart.
W =
(b) Determine the change in the kinetic energy of the crate between t=0 and the moment it starts sliding toward the back of the cart.
AK=
(c) Determine the magnitude of the acceleration of the crate, with respect to the fixed incline, when it is sliding toward the back of the cart.
m/s²

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Step 2: Find the maximum statics force and time required.

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Step 3: Find the acceleration and distance.

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Step 4: (a)- Determine the work done by the tension force.

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Step 5: b- Find the change in kinetic energy.

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