3) Simple Problem #3 Two blocks of mass m 2.00 kg are connected by a vertical string of negligible mass and unknown tension Tm are hanging vertically. The higher one of these two masses is directly attached to another string of negligible mass and unknown tension T that goes over a frictionless pulley of negligible mass and is connected to a third block of mass M=6.00 kg. The heavier block is free to slide on an incline (of angle 0= 30.0° w.r.t. the horizontal) with coefficients of kinetic friction of u=0.120 and static friction us=0.150 between the block and the incline. The system is released from rest. m m ) Please perform a test to determine which way the system would like to move in the absence of any friction. Please perform a test to determine whether the system will be able to overcome the maximum of static iction and be able to move, or remain at rest instead. Determine the magnitude of the normal force N exerted on the third block by the incline. Page
3) Simple Problem #3 Two blocks of mass m 2.00 kg are connected by a vertical string of negligible mass and unknown tension Tm are hanging vertically. The higher one of these two masses is directly attached to another string of negligible mass and unknown tension T that goes over a frictionless pulley of negligible mass and is connected to a third block of mass M=6.00 kg. The heavier block is free to slide on an incline (of angle 0= 30.0° w.r.t. the horizontal) with coefficients of kinetic friction of u=0.120 and static friction us=0.150 between the block and the incline. The system is released from rest. m m ) Please perform a test to determine which way the system would like to move in the absence of any friction. Please perform a test to determine whether the system will be able to overcome the maximum of static iction and be able to move, or remain at rest instead. Determine the magnitude of the normal force N exerted on the third block by the incline. Page
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Please answer all parts of the question using all data given. Show all work and circle your answer please.
Transcribed Image Text:### Example Problem #3
Two blocks of masses \( M = 20.0 \, \text{kg} \) are connected by a vertical string of negligible mass and unknown tension \( T \). The system is fixed over a pulley, connected to two masses: a third block of mass \( m = 12.0 \, \text{kg} \) is situated on an inclined plane. The block over the frictionless pulley is connected by a second vertical string, also of negligible mass. The angle of inclination of the incline is \( \theta = 30.0^\circ \). The coefficients of kinetic friction \( \mu_k = 0.120 \) and static friction \( \mu_s = 0.150 \) between the block and the incline are given. The system is released from rest.
**Tasks:**
a) Please perform a test to determine which way the system would like to move in the absence of any friction.
b) Please perform a test to determine whether the system will be able to overcome the maximum of static friction and be able to move, or remain at rest instead.
c) Determine the magnitude of the normal force \( N \) exerted on the third block by the incline.
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**Diagram Explanation:**
The diagram included features a pulley system with two blocks labeled \( M \), both hanging vertically, and a third block \( m \) on an inclined plane at angle \( \theta \). The forces acting on the third block include gravitational force, normal force, and frictional force, which are influenced by the angle of the incline and the coefficients of friction provided. The direction of potential movement is indicated by arrows, and the pulley is shown at the top pulling the vertical string.
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