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ASSESSMENT MATERIAL - BOOK 01 Question 4 A garden roller of mass 100 kg is held stationary on a path which has a 15 slope, with an effort 'P' applied at its handle to hold it on the slope. Draw a...

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ASSESSMENT MATERIAL - BOOK 01
Question 4
A garden roller of mass 100 kg is held stationary on a path which has a 15 slope, with an effort 'P' applied at its handle to hold it on the slope. Draw a space diagram for the system and then determine, either graphically or analytically, (a) The magnitude and direction of the reaction between the roller and the path. (b) The magnitude of the pulling force `P' required at the handle to keep the roller stationary.
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Page 9 of 28
Demonstrate and Apply Knowledge of Mechanical Statics for Mechanical Engineering
Competenz SKILLS FOR INDUSTRY'
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WAIKATO INSTITUTE Of TECHNOLOGY Te Ku ratini o Waikato
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. ASSESSMENT MATERIAL BOOK 01 Question 4 c garden path has 15 'P' A roller of mass 100 kg is held stationary on a which a slope, with an effod applied at its handle to hold it on the slope. graphrcally Draw a space diagram for the system and then determine, either or analytically, (a) path. The magnitude and direction of the reaction between the roller and the pulling 'P' (b) The magnitude of the force required at ihe handle to keep the roller stationary. ,', so'' & ?^q,b u te b re/z'<*,i""(><> .i-*e o,F <><;^>

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Answered Same Day Dec 21, 2021

Solution

David answered on Dec 21 2021
130 Votes
a] The normal reaction force is F = m*g*cos(15) = 100kg*9.8m/s^2*cos(15)
F = 947 N
] The required pulling force is P = m*g*sin(15)
=100kg*9.8m/s^2*sin(15)
=253 N (P required with respect to sloppe point)
2)
Mass of post BC=800kg
Taking moment about B
Hc*cos30*4=800*9.8*2*cos 60...
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