# physics

A block of mass 3kg which is on a smooth inclined plane making an angle of 30° to the horizontal is connected by a cord passing over a light frictionless pulley to a second block of mass 2kg hanging vertically. What is the acceleration of each block and what is the tention of thr cord?

1. 👍 5
2. 👎 3
3. 👁 1,511
1. The 2 kg hanging block:
x defined down
m a = m g - T
T = m (g-a)
T = 2 (9.81-a)

The 3 kg bock on the slope:
now x is up the slope
T - m g sin 30 = m a
T = m (g/2+a)
T = 3 (4.9-a)

1. 👍 10
2. 👎 8
2. And is in complete

1. 👍 4
2. 👎 6

1. 👍 5
2. 👎 1
4. m1gsin30=3×9.8×1/2=14.7 (take g=9.8)
m2g=2×9.8=19.6
14.7-T=3a --------(1)
T-19.6=2a ---------(2)
By solving 1 and 2 we get a=-4.9
(-) indicates direction
a=4.9
By substituting a=4.9 in any equation,we get T=17.6N

1. 👍 4
2. 👎 4
5. a=0.98m/s2

1. 👍 1
2. 👎 0

1. 👍 1
2. 👎 0

## Similar Questions

1. ### physics

In the Figure the pulley has negligible mass, and both it and the inclined plane are frictionless. Block A has a mass of 1.3 kg, block B has a mass of 2.7 kg, and angle è is 26 °. If the blocks are released from rest with the

asked by chirayu on March 23, 2009
2. ### Physics

A wooden block of mass m = 9 kg starts from rest on an inclined plane sloped at an angle θ from the horizontal. The block is originally located 5m from the bottom of the plane. If the block, undergoing constant acceleration down

asked by Mike on February 3, 2013
3. ### physics

The two blocks in the sketch are connected by a light cord over a frictionless pulley and are initially held in place. The block m1 has a mass of 2,00 kg and m2 has a mass of 3,00 kg. The inclined plane is frictionless and the

asked by Lysha on June 8, 2014
4. ### cary collage

"A 2.5-kg block slides down a 25 degree inclined plane with constant acceleration. The block starts from rest at the top. At the bottom, its velocity reaches 0.65 m/s. The length of the incline is 1.6m. a) What is the acceleration

asked by sahan on September 27, 2010
5. ### Physics

A block of ice of mass 30 kg is at rest atop an inclined plane of vertical height 2 m. It is released and slides down the inclined plane. What is its speed at the bottom of the inclined plane?

asked by Hannah on March 1, 2017
1. ### physics

Two blocks are connected by a string over a frictionless, massless pulley such that one is resting on an inclined plane and the other is hanging over the top edge of the plane. the hanging block has a mass of 16 kg and the one on

asked by emm on January 18, 2010
2. ### SCIENCE

A block of mass m having charge q is sliding down an inclined plane of inclination and coefficient of friction.When uniform electric field E is applied parallel to the base of inclined plane,the block slides down with constant

asked by GELSEY on April 28, 2017
3. ### science

A steel block weighing 12N is pulled up an incline plane 20° above the horizontal by a constant force of 7.35 N which makes an angle of 10° above the inclined plane. The block stars from rest and is pulled 2.0m along the

asked by John on June 20, 2018
4. ### Physics

The block shown in (Figure 1) has mass m = 7.0 kg and lies on a fixed smooth frictionless plane tilted at an angle θ = 22.0 ∘ to the horizontal. If the block starts from rest 15.2 m up the plane from its base, what will be the

asked by Simone on November 28, 2015
5. ### physics

A block of mass m rests on a smooth plane of a wedge which is inclined at angle of θ to the horizontal. The wedge is accelerating to the left such that the block does not slide down. Derive an expression for the normal reaction

asked by anonymous on June 26, 2018