A tool chest has 800 N weight that acts through the midpoint ofthe chest. The ch

Question

A tool chest has 800 N weight that acts through the midpoint ofthe chest. The chest is supported by feet at A and rollers at B.The surface has a coefficient of friction of 0.3. Determine thevalue of the horizontal force P necessary to cause motion of thechest to the right, and determine if the motion is sliding ortipping.

A tool chest has 800 N weight that acts through the midpoint of the chest. The chest is supported by feet at A and rollers at B. The surface has a coefficient of friction of 0.3. Determine the value of the horizontal force P necessary to cause motion of the chest to the right, and determine if the motion is sliding or tipping.

Explanation / Answer

A tool chest has 800 N weight that acts through the midpoint ofthe chest. The chest is supported by feet at A and rollers at B.The surface has a coefficient of friction of 0.3. Determine thevalue of the horizontal force P necessary to cause motion of thechest to the right, and determine if the motion is sliding ortipping

Clearly

Na+Nb =W =800newtond where Na is normal force at A

also from torque equation wrt centre of tool chest

P = fa+fb where fa is friction at a

P= 0.3Na+0.3Nb

P *(30) + Nb*35 +0.3*Na*50+ Nb*0.3*50 = Na*35

Hence 20Na-50Nb =P*30

solving anove equations we get P= 800*0.3 =240 N

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