The tension developed in the cable.
Answer to Problem 1FP
The tension developed in the cable is
Explanation of Solution
Given:
The mass of the crate
The coefficient of kinetic friction
Angle
Initial velocity
Initial distance
Final distance
Time
Write the expression for final distance in
Here, Final distance is
Draw the free body diagram of the crate as shown in Figure (1).
Refer Figure (1) write the formula to calculate horizontal force components:
Here, summation of total force acting on horizontal direction is
Refer Figure (1) and resolve the forces along
Refer Figure (1) and write the formula to calculate vertical force components:
Here, summation of total force acting on vertical direction is
Refer Figure (1) and resolve the forces along
Conclusion:
Substitute
Substitute
Substitute
Substitute
Thus, the tension developed in the cable is
Want to see more full solutions like this?
Chapter 13 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
- The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.arrow_forwardIf the 40kg box is moving with 1 m/s^2 acceleration to the right, determine the magnitude of normal force acting on the box, if F is 174 N. The coefficient of kinetic friction between the box and the ground is 0.3.arrow_forwardThe 8-kg block is moving with an initial speed of 5 m/s. If the coefficient ofkinetic friction between the block and plane is uk = 0.25, determine the maximum compressionin the spring when the block momentarily stops.arrow_forward
- The coefficient of static and kinetic friction between the 100-kg block and the inclined plane are 0.30 and 0.20 respectively. Determine (a) the friction forced F acting on the block when P is applied with a magnitude of 200 N to the block at rest (b) the force P required to impend motion up the incline.arrow_forwardThe conveyor belt is moving downward at 5 m/s. If the coefficient of static friction between the conveyor and the 12-kg package B is uk = 0.71, determine the shortest time the belt can stop so that the package does not slide on the belt.arrow_forwardThe 200-lb man walks up the inclined plank of negligible weight. The coefficients of static friction at A and B are 0.3 and 0.2, respectively. Determine the distance x at which the plank would begin to slide.arrow_forward
- The coefficient of static friction between the 200-kg crate and the flat bed of the truck is 0.3. Determine the shortest time for the truck to reach a speed of 60 km/h, starting from rest with constant acceleration, so that the crate does not slip.arrow_forwardDuring accelerated motion a 5kg ball forms a constant angle ϴ. Determine the angle ϴ and the tension in the rope connecting A to the 15kg block. Neglect the pulley and block A masses, there is no friction between block A and the surface, Leave the result expressed.arrow_forwardThe conveyor belt delivers each 12-kg crate to the ramp at A such that the crate’s speed is vA = 2.5 m>s,directed down along the ramp. If the coefficient of kinetic friction between each crate and the ramp is mk = 0.3,determine the smallest incline u of the ramp so that the crates will slide off and fall into the cartarrow_forward
- The car has a mass of 2000kg. Determine the shortest time it takes for it to reach a speed of 90 km/hr, starting from rest, if the engine drives the front wheels, whereas the rear wheels are free rolling. The coefficient of friction between the wheels and road is s=0.4, k=0.3. Neglect the mass of the wheels. What are the reactions at the front and rear wheels while the car is acceleratingarrow_forwardIf the track is designed so that the passengers of the roller coaster do not experience a normal force less than 1/2 or more than 3 times their weight, determine the limiting heights hA and hC so that this does not occur. The roller coaster starts from rest at position A. Neglect friction. Please show every single step of the processarrow_forwardIf blocks A and B of mass 10 kg and 6 kg respectively, are placed on the inclined plane and released, determine the force developed in the link. The coefficients of kinetic friction between the blocks and the inclined plane are mA = 0.1 and mB = 0.3. Neglect the mass of the link.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L