An object of mass 1.67 kg is placed on a horizontal table and connected to a...

Question

Question

Answer 1

Answer #1

dynamics for hanging mass

m2 a = m2 g - T

T = m2 g - m2 a ... (i)

dynamics for other mass

T = m1 a

Putting in (i)

m1 a = m2 g - m2 a

a ( m1 + m2) = m2 g

a ( 1.67 + 6.97) = 6.97 * 9.8

a = 7.906 m/s^2

==========

puttinh in (i)

T = 13.202 N

=========

Comment in case any doubt, will reply for sure.. Goodluck

Answer 2

Similar Homework Help Questions

a 2.5 KG object is placed on a horizontal table is connected to a string that...

a 2.5 KG object is placed on a horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 7.50 KG object. the coefficient of friction between the table and the 2.5 block is 0.3. find the magnitude of the acceleration of the two objects and the tension in thr string.
A block of mass m1 = 36 kg on a horizontal surface is connected to a...

A block of mass m1 = 36 kg on a horizontal surface is connected to a mass m2 = 17.1 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.25. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? ____ m/s2 (b) Determine the magnitude of...
An object with mass m1 = 4.70 kg, rests on a frictionless horizontal table and is...

An object with mass m1 = 4.70 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 11.7 kg, shown in the figure. as (a) Find the magnitude of the acceleration of each object m/s2 a1= m/s2 a2 (b) Find the tension in the cable N

An object with mass m1 = 4.70 kg, rests on a frictionless horizontal table and is...

An object with mass m1 = 4.70 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 12.0 kg, as shown in the figure. (a) Find the magnitude of the acceleration of each object. a1 = 12 m/s2 a2 = m/s2 (b) Find the tension in the cable.
A block of mass m2 = 38 kg on a horizontal surface is connected to a...

A block of mass m2 = 38 kg on a horizontal surface is connected to a mass m2 = 20.1 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m, and the horizontal surface is 0.24. m (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? 3.39 Did you draw a free-body...
A glider of mass m1=12 kg on a frictionless horizontal track is connected to an object...

A glider of mass m1=12 kg on a frictionless horizontal track is connected to an object of mass m2=5 kg by a massless string. The glider accelerates to the right, the object accelerates downward, and the string rotates the pulley(with mass m=1.6 kg and radius R). 1.Determine the acceleration of the mass 1. 2.Determine the acceleration of the mass 2.3. Determine angular acceleration of the pulley. 4.Determine the tension T1 in the horizontal part of the string 5. Determine the...

A 5.00-kg object placed on a frictionless, horizontal table is connected to a string that passes...

A 5.00-kg object placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 9.00-kg object, as in Figure P5.24. Draw free-body diagrams of both objects. Find the acceleration of the two objects and the tension in the string. 5.00 kg 9.00 kg
A block of mass m1 = 39 kg on a horizontalsurface is connected to a...

A block of mass m1 = 39 kg on a horizontal surface is connected to a mass m2 = 22.5 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction betweenm1 and the horizontal surface is 0.23.A) What is the magnitude of the acceleration (in m/s2) of the hanging mass?B) Determine the magnitude of the tension (in N) in...
Two objects with masses of m1 = 2.70 kg and m2 = 5.70 kg are connected...

Two objects with masses of m1 = 2.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. (a) Determine the tension in the string. (Enter the magnitude only.) N (b) Determine the acceleration of each object. (Enter the magnitude only.) m/s2 (c) Determine the distance each object will move in the first second of motion if both objects start from rest. m Two objects with masses...

A mass, m1 = 5.47 kg, resting on a frictionless horizontal table is connected to a...

A mass, m1 = 5.47 kg, resting on a frictionless horizontal table is connected to a cable that passes over a pulley and then is fastened to a hanging mass, m2 = 12.67 kg, as in the figure. When we release the mass m1, it accelerates across the table. Find (a) the acceleration (m/s2 ) of the masses and (b) the tension (N) in the cable. Neglect the mass of the cable and pulley.