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A uniform 50-kg crate rest on a horizontal surface for which coefficient of kinetic friction is 0.2. Determine the crate acceleration if a force of P=600 N is applied to the crate as shown in figure.
written 5.2 years ago by gravatar for teamques10 teamques10 ★ 65k modified 2.1 years ago by gravatar for RakeshBhuse RakeshBhuse • 3.2k

enter image description here

Subject : Kinematics of Machines

Topic : Kinematics and Kinetics of rigid body

Difficulty : Medium
kinematics of machinery
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written 2.1 years ago by gravatar for RakeshBhuse RakeshBhuse • 3.2k •   modified 2.1 years ago

Solution :

Given :

Mass of crat $m=50~kg$

F.B.D

enter image description here

Applying the equation of 2nd law of motion

Along Y-axis

$\begin {aligned}\Sigma F_y &=m\left(a_{G}\right)_{y} \\ N-W &=0 .....(i) \end{aligned}$

Along X-axis

$\begin{aligned}\Sigma F_{x} &=m \left(a _{G}\right)_{x} \\ P-F &=50a_G\\ 600-0.2 N &=50 a_{G} .....(ii)\end{aligned}$

Moment at G

$\begin {aligned}\Sigma M_{G} &=0 …

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