Physics
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A 2.5 kg block on a frictionless horizontal surface is connected to a second block of mass 0.5 kg by a massless string that passes over a frictionless pulley. The second block is initially at rest, hanging vertically. Determine the tension in the string when the blocks are released.
The figure depicts an arrangement in which a block of 5.0 kg is connected to a block of 1.5 kg through massless and frictionless pulleys. Calculate the magnitude of the acceleration of the upper box.
A block weighing 1.5 kg is placed on another block weighing 2.5 kg. The blocks are tied as shown in the figure. The tension force in the lower rope is 25 N and μk = 0.35 for both the surfaces of the lower block which are in contact. Determine the tensile force in the upper rope.
A metal chain 1.5 m long with a mass of 10.0 kg is used to pull a 120 kg cart on a flat and smooth frictionless floor. The acceleration of the cart is 22 m/s2. Determine the external force applied on the chain by the pulling motor. Consider the chain to be horizontal.
A free crane cable has a length of L hanging from the pulley. The L-long section has a mass M. Work out an expression for tension at a length h measured from the lower end of the cable. Assume the cable is even.
Three metallic blocks of mass 2.5 kg and three metallic chains each of mass 500 g are assembled, as shown. The chains are welded onto the metal blocks. The third chain is welded below the lowest block. An external force, Fext, accelerates the fabrication at 2.5 m/s2. Determine the tension at the top of chain 1.
An 80 kg crate lies on a level bench. The static friction coefficient between the crate and the bench is 0.85. A cable with negligible mass is tied to the crate and directed through a massless and frictionless pulley at the edge of the bench. In an attempt to drag the crate on the bench, three 20 kg masses are tied to the other end of the cable. The crate is not dislodged. Determine the cable's tension at the point where it is tied to the crate.
A book is lying on the floor of a train that is moving at 60 km/h. It only slides forward if the train comes to a stop in not more than 5 s. Calculate the coefficient of static friction between the book and the floor of the train, assuming the floor of the train is perfectly aligned (horizontally) with the ground outside the train.
A 40-kg monkey is sitting high in the trees. A woody vine hangs from a nearby tree branch to the bottom of the trees. However, it can only support a mass of 30 kg. How should the monkey climb down the vine so it doesn't break? (Suggest quantitatively.)
A gardener in a basket hoists himself upward using a pulley system, as shown in the diagram. What will the acceleration be if he increases the applied force by 16%? The combined mass of the gardener and the basket is 80 kg.
A 2.5-kg calculator is placed atop a 6.5-kg textbook. The rope and pulley system used to balance them has negligible mass, and virtually no friction affects the setup. Determine the connecting rope tension if the textbook accelerates the calculator at 2.5 m/s².
A ball of mass m' is attached by a massless string to the tip of an empty bottle of wine that is kept on a trolley as shown in the figure below. The mass of the bottle is m whereas the mass of the trolley itself is M. A force F is applied on the trolley towards the left in such a way that the trolley starts moving to the left while the bottle stays still with respect to the trolley as shown. Assuming the mass m' doesn't touch the trolley while the trolley moves, What would the expression of the force F be? (Ignore Friction)
One 3.5-kg flower pot hangs from a weightless string attached to another 3.5-kg flower pot, which is also suspended by a weightless string. If both pots remain stationary, calculate the tension in each string.
One 3.3-kg lantern hangs from a weightless string attached to another 3.3-kg lantern, which is also suspended by a weightless string. Calculate the tension in each string if the two lanterns are pulled upward with an acceleration of 1.55 m/s² by the upper string.
A construction crew needs to lift a steel beam with a mass M using a pulley system as shown. Determine the minimum force that the crane operator must apply to lift the steel beam.
In a construction project, the task involves lifting a rectangular concrete block to a designated height using a compound pulley system as shown. The concrete block has mass MMM. Determine the tension in each section of the rope: T1T_1T1, T2T_2T2 , T3T_3T3, and T4T_4T4.